64 (sixty-four) is the

natural number In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and ordering (as in "this is the ''third'' largest city in the country"). Numbers used for counting are called ''Cardinal n ...

following 63 and preceding 65.

In mathematics

Sixty-four is the square of 8, the cube of 4, and the sixth power of 2. It is the smallest number with exactly seven

divisor In mathematics, a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n. In this case, one also says that n is a multiple of m. An integer n is divisible or evenly divisible by ...

s. It is the lowest positive

power of two A power of two is a number of the form where is an integer, that is, the result of exponentiation with number two as the base and integer as the exponent. In a context where only integers are considered, is restricted to non-negative ...

that is adjacent to neither a

Mersenne prime In mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number of the form for some integer . They are named after Marin Mersenne, a French Minim friar, who studied them in the early 17t ...

nor a

Fermat prime In mathematics, a Fermat number, named after Pierre de Fermat, who first studied them, is a positive integer of the form :F_ = 2^ + 1, where ''n'' is a non-negative integer. The first few Fermat numbers are: : 3, 5, 17, 257, 65537, 429496 ...

. 64 is the sum of Euler's totient function for the first fourteen integers. It is also a

dodecagonal number A dodecagonal number is a figurate number that represents a dodecagon. The dodecagonal number for ''n'' is given by the formula :D_=5n^2 - 4n The first few dodecagonal numbers are: : 0, 1, 12, 33, 64, 105, 156, 217, 288, 369, 460, 561, 672, 7 ...

and a

centered triangular number A centered (or centred) triangular number is a centered figurate number that represents an equilateral triangle with a dot in the center and all its other dots surrounding the center in successive equilateral triangular layers. The followin ...

. 64 is also the first whole number (greater than 1) that is both a perfect square and a perfect cube. Since it is possible to find sequences of 64 consecutive integers such that each inner member shares a factor with either the first or the last member, 64 is an

Erdős–Woods number In number theory, a positive integer is said to be an Erdős–Woods number if it has the following property: there exists a positive integer such that in the sequence of consecutive integers, each of the elements has a non-trivial common factor ...

. In base 10, no integer added up to its own digits yields 64, hence it is a

self number In number theory, a self number or Devlali number in a given number base b is a natural number that cannot be written as the sum of any other natural number n and the individual digits of n. 20 is a self number (in base 10), because no such combina ...

. 64 is a superperfect number—a number such that σ(σ(''n'')) = 2''n''. 64 is the index of Graham's number in the rapidly growing sequence 3 ↑↑↑↑3, 3 ↑ 3,… In the fourth dimension, there are 64 uniform polychora aside from two infinite families of duoprisms and antiprismatic prisms, and 64

Bravais lattice In geometry and crystallography, a Bravais lattice, named after , is an infinite array of discrete points generated by a set of discrete translation operations described in three dimensional space by : \mathbf = n_1 \mathbf_1 + n_2 \mathbf_2 + n ...

In science

*The

atomic number The atomic number or nuclear charge number (symbol ''Z'') of a chemical element is the charge number of an atomic nucleus. For ordinary nuclei, this is equal to the proton number (''n''p) or the number of protons found in the nucleus of every ...

gadolinium Gadolinium is a chemical element with the symbol Gd and atomic number 64. Gadolinium is a silvery-white metal when oxidation is removed. It is only slightly malleable and is a ductile rare-earth element. Gadolinium reacts with atmospheric oxygen ...

, a lanthanide

In astronomy

Messier object The Messier objects are a set of 110 astronomical objects catalogued by the French astronomer Charles Messier in his ''Catalogue des Nébuleuses et des Amas d'Étoiles'' (''Catalogue of Nebulae and Star Clusters''). Because Messier was only int ...

M64, a

magnitude Magnitude may refer to: Mathematics *Euclidean vector, a quantity defined by both its magnitude and its direction *Magnitude (mathematics), the relative size of an object *Norm (mathematics), a term for the size or length of a vector *Order of ...

9.0 galaxy in the

constellation A constellation is an area on the celestial sphere in which a group of visible stars forms Asterism (astronomy), a perceived pattern or outline, typically representing an animal, mythological subject, or inanimate object. The origins of the e ...

Coma Berenices Coma Berenices is an ancient asterism in the northern sky, which has been defined as one of the 88 modern constellations. It is in the direction of the fourth galactic quadrant, between Leo and Boötes, and it is visible in both hemisphe ...

, also known as the

Black Eye Galaxy The Black Eye Galaxy (also called Sleeping Beauty Galaxy or Evil Eye Galaxy and designated Messier 64, M64, or NGC 4826) is a relatively isolated spiral galaxy 17 million light-years away in the mildly northern constellation of Coma Bere ...

. *The

New General Catalogue The ''New General Catalogue of Nebulae and Clusters of Stars'' (abbreviated NGC) is an astronomical catalogue of deep-sky objects compiled by John Louis Emil Dreyer in 1888. The NGC contains 7,840 objects, including galaxies, star clusters and ...

br>object
NGC 64, a

barred spiral galaxy A barred spiral galaxy is a spiral galaxy with a central bar-shaped structure composed of stars. Bars are found in about two thirds of all spiral galaxies, and generally affect both the motions of stars and interstellar gas within spiral galaxies ...

in the constellation

Cetus Cetus () is a constellation, sometimes called 'the whale' in English. The Cetus was a sea monster in Greek mythology which both Perseus and Heracles needed to slay. Cetus is in the region of the sky that contains other water-related constellat ...

In technology

* In some computer programming languages, the size in bits of certain data types *

64-bit computing In computer architecture, 64-bit integers, memory addresses, or other data units are those that are 64 bits wide. Also, 64-bit CPUs and ALUs are those that are based on processor registers, address buses, or data buses of that size. A co ...

* A 64-bit integer can represent up to 18,446,744,073,709,551,616 values. * Base 64 is used in with Base64 encoding and other data compression formats. * In 8-bit home computers, a common shorthand for the Commodore 64 * The

ASCII ASCII ( ), abbreviated from American Standard Code for Information Interchange, is a character encoding standard for electronic communication. ASCII codes represent text in computers, telecommunications equipment, and other devices. Because of ...

code 64 is for the @ symbol * The

Nintendo 64 The (N64) is a home video game console developed by Nintendo. The successor to the Super Nintendo Entertainment System, it was released on June 23, 1996, in Japan, on September 29, 1996, in North America, and on March 1, 1997, in Europe and Au ...

video game console A video game console is an electronic device that Input/output, outputs a video signal or image to display a video game that can be played with a game controller. These may be home video game console, home consoles, which are generally placed i ...

and (historically) the Commodore 64. *Since 1996, the number 64 has been an abbreviation or slang for Nintendo 64 (though ''N64'' is more common) along with the games ''

Super Mario 64 is a platform game developed and published by Nintendo for the Nintendo 64. It was released in Japan and North America in 1996 and PAL regions in 1997. It is the first ''Super Mario'' game to feature 3D gameplay, combining traditional ''Su ...

'', ''

Mario Kart 64 is a kart racing video game developed and published by Nintendo for the Nintendo 64. It was also released for the iQue Player in China in 2003. The game is the second main entry in the ''Mario Kart'' series and is the successor to ''Super Mari ...

'' and more. *64 is used in the term ''Smash 64'' which is used to distinguish ''Super Smash Bros.'' (the video game) from the name of the series '' Super Smash Bros.'' *The number of stackable items in ''

Minecraft ''Minecraft'' is a sandbox game developed by Mojang Studios. The game was created by Markus "Notch" Persson in the Java programming language. Following several early private testing versions, it was first made public in May 2009 before being ...

'' is at most 64.

In other fields

Sixty-four is: * Up to the year 1957, the Indian currency

Rupee Rupee is the common name for the currencies of India, Mauritius, Nepal, Pakistan, Seychelles, and Sri Lanka, and of former currencies of Afghanistan, Bahrain, Kuwait, Oman, the United Arab Emirates (as the Gulf rupee), British East Africa, B ...

had 64 paise. Likewise, the Pakistani Rupee also had 64 paise up to 1961. * In

chess Chess is a board game for two players, called White and Black, each controlling an army of chess pieces in their color, with the objective to checkmate the opponent's king. It is sometimes called international chess or Western chess to disti ...

draughts Checkers (American English), also known as draughts (; British English), is a group of strategy board games for two players which involve diagonal moves of uniform game pieces and mandatory captures by jumping over opponent pieces. Checkers ...

, the total number of black (dark) and white (light) squares on the 8 by 8 game board * The total number of gems in a standard ''

Bejeweled ''Bejeweled'' (also referred as ''Bejeweled Deluxe'' in some releases) is a tile-matching puzzle video game by PopCap Games, developed for browsers in 2001. The first game developed by PopCap under their current name, ''Bejeweled'', involves ...

'' game board * ''64'' was the name of a former Russian

magazine A magazine is a periodical publication, generally published on a regular schedule (often weekly or monthly), containing a variety of content. They are generally financed by advertising, purchase price, prepaid subscriptions, or by a combinatio ...

* The

code for international direct dial Country calling codes or country dial-in codes are telephone number prefixes for reaching telephone subscribers in the networks of the member countries or regions of the International Telecommunication Union (ITU). The codes are defined by the ...

calls to New Zealand (+64) * The subject of the

Beatles The Beatles were an English rock band, formed in Liverpool in 1960, that comprised John Lennon, Paul McCartney, George Harrison and Ringo Starr. They are regarded as the most influential band of all time and were integral to the developme ...

song "

When I'm Sixty-Four "When I'm Sixty-Four" is a song by the English rock band The Beatles, written by Paul McCartney (credited to Lennon–McCartney) and released on their 1967 album ''Sgt. Pepper's Lonely Hearts Club Band''. McCartney wrote the song when he was ab ...

" * The registry of the U.S. Navy's aircraft carrier USS ''Constellation'' (CV-64) * The number of

braille Braille (Pronounced: ) is a tactile writing system used by people who are visually impaired, including people who are Blindness, blind, Deafblindness, deafblind or who have low vision. It can be read either on Paper embossing, embossed paper ...

characters in the old 6-dot system * The maximum number of

stroke A stroke is a medical condition in which poor blood flow to the brain causes cell death. There are two main types of stroke: ischemic, due to lack of blood flow, and hemorrhagic, due to bleeding. Both cause parts of the brain to stop functionin ...

s in any

Chinese character Chinese characters () are logograms developed for the Written Chinese, writing of Chinese. In addition, they have been adapted to write other East Asian languages, and remain a key component of the Japanese writing system where they are k ...

* Number of hexagrams in the ''

I Ching The ''I Ching'' or ''Yi Jing'' (, ), usually translated ''Book of Changes'' or ''Classic of Changes'', is an ancient Chinese divination text that is among the oldest of the Chinese classics. Originally a divination manual in the Western Zho ...

'' * Slang term referring to a 1964

Chevrolet Impala The Chevrolet Impala () is a full-size car built by Chevrolet for model years 1958 to 1985, 1994 to 1996, and 2000 to 2020. The Impala was Chevrolet's popular flagship passenger car and was among the better-selling American-made automobiles in ...

, often configured as a

lowrider A lowrider or low rider is a customized car with a lowered body. These customized vehicles are generally individually painted with intricate, colorful designs, rolling on wire-spoke wheels with whitewall tires. Lowrider rims are generally smalle ...

, a popular subject among early-1990s

gangsta rap Gangsta rap or gangster rap, initially called reality rap, emerged in the mid- to late 1980s as a controversial hip-hop subgenre whose lyrics assert the culture and values typical of American street gangs and street hustlers. Many gangsta rappe ...

* The number of classical arts listed in many Indian scriptures. They include: singing, dancing, painting, poetry, playing cards, making arguments, making flower garlands, etc. * The number of the

French department In the administrative divisions of France, the department (french: département, ) is one of the three levels of government under the national level ("territorial collectivities"), between the administrative regions and the communes. Ninety-s ...

Pyrénées-Atlantiques Pyrénées-Atlantiques (; Gascon Occitan: ''Pirenèus Atlantics''; eu, Pirinio Atlantiarrak or ) is a department in the southwest corner of France and of the region of Nouvelle-Aquitaine. Named after the Pyrenees mountain range and the Atlanti ...

* The number of crayons in the popular Crayola 64 pack * Number of codons in the RNA codon table under

genetic code The genetic code is the set of rules used by living cells to translate information encoded within genetic material ( DNA or RNA sequences of nucleotide triplets, or codons) into proteins. Translation is accomplished by the ribosome, which links ...

* Number of golden disks in the myth of the

Tower of Hanoi The Tower of Hanoi (also called The problem of Benares Temple or Tower of Brahma or Lucas' Tower and sometimes pluralized as Towers, or simply pyramid puzzle) is a mathematical game or puzzle consisting of three rods and a number of disks of va ...

* A number referring to

Tiananmen Square protests of 1989 The Tiananmen Square protests, known in Chinese as the June Fourth Incident (), were student-led demonstrations held in Tiananmen Square, Beijing during 1989. In what is known as the Tiananmen Square Massacre, or in Chinese the June Fourth ...

() in Chinese * "64" is the title of a song by the hip-hop group

Mellowhype MellowHype was an American hip hop duo from Los Angeles, California, that consists of rapper-producer Hodgy (Gerard Long) and producer-rapper Left Brain (Vyron Turner). Both were members of hip hop collective Odd Future. They have released two ...

from their album ''

BlackenedWhite ''BlackenedWhite'' is the debut studio album by Odd Future sub-group MellowHype. Production for the album was handled by Left Brain. It was made available for free download October 31, 2010, and re-released on July 12, 2011, through Fat Possum R ...

'' * Number of shares in a ship or boat under British Registry owing to its divisibility by 1, 2, 4, 6, 8, 16, 32 *''

64 Zoo Lane 64 or sixty-four or ''variation'', may refer to: * 64 (number) Dates * one of the years 64 BC, AD 64, 1864, 1964, 2064, etc. * June 4th (6/4) ** the date of the 1989 Tiananmen Square protests and massacre * April 6th (6/4) * April 6 AD (6/4) * J ...

'', a British animated children's TV series

References