SixtyFour

Sixty-four is the integer that comes after sixty-three and before sixty-five. In decimal notation it is written as 64. It is a positive even number and a power of two, equal to 2 raised to the sixth power (2^6). In common numeral systems, 64 is 1000000 in binary and 40 in hexadecimal.

In mathematics, 64 is a square number (8^2) and also a cube (4^3). Its divisors are 1, 2, 4, 8, 16, 32, and 64. As a power of two, many of its properties arise in counting, computer science, and coding, where binary and bit-based reasoning are prevalent.

In computing and information technology, 64 is widely associated with 64-bit architectures, where data units, addresses, and integers are sized in multiples of 64 bits. This has implications for memory capacity, processing power, and encryption schemes. In data storage and transfer, blocks or pages are often organized around 64-unit boundaries in certain systems. The number also appears in areas such as cryptography, where 64-bit keys and operations were once standard, although many modern applications use larger sizes.

Culturally and scientifically, 64 has notable associations: a standard chessboard contains 64 squares, and the I Ching presents 64 hexagrams. In biology, the genetic code comprises 64 codons that encode amino acids and protein structures. The number’s prominence across mathematics, computing, and culture makes it a recurring reference in technical and general contexts.