56740676256 has 360 divisors, whose sum is σ = 185142301344. Its totient is φ = 16904712960.

The previous prime is 56740676249. The next prime is 56740676287. The reversal of 56740676256 is 65267604765.

56740676256 is a `hidden beast` number, since 5 + 6 + 7 + 4 + 0 + 6 + 7 + 625 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 408206235 + ... + 408206373.

Almost surely, 2^56740676256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56740676256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92571150672).

56740676256 is an abundant number, since it is smaller than the sum of its proper divisors (128401625088).

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

56740676256 is a wasteful number, since it uses less digits than its factorization.

56740676256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 56740676256 in words is "fifty-six billion, seven hundred forty million, six hundred seventy-six thousand, two hundred fifty-six".