57674600256 has 336 divisors, whose sum is σ = 194959638528. Its totient is φ = 14718412800.

The previous prime is 57674600237. The next prime is 57674600273. The reversal of 57674600256 is 65200647675.

57674600256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7037121 + ... + 7045311.

Almost surely, 2^57674600256 is an apocalyptic number.

57674600256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57674600256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97479819264).

57674600256 is an abundant number, since it is smaller than the sum of its proper divisors (137285038272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57674600256 is a wasteful number, since it uses less digits than its factorization.

57674600256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8270 (or 8247 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 57674600256 in words is "fifty-seven billion, six hundred seventy-four million, six hundred thousand, two hundred fifty-six".