56276736768 has 540 divisors, whose sum is σ = 197561916552. Its totient is φ = 15885434880.

The previous prime is 56276736751. The next prime is 56276736773. The reversal of 56276736768 is 86763767265.

56276736768 is a `hidden beast` number, since 562 + 7 + 6 + 7 + 3 + 6 + 7 + 68 = 666.

It is a super-2 number, since 2×56276736768² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 98557923 + ... + 98558493.

Almost surely, 2^56276736768 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 56276736768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98780958276).

56276736768 is an abundant number, since it is smaller than the sum of its proper divisors (141285179784).

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

56276736768 is an equidigital number, since it uses as much as digits as its factorization.

56276736768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 680 counting only the distinct ones).

The product of its digits is 106686720, while the sum is 63.

The spelling of 56276736768 in words is "fifty-six billion, two hundred seventy-six million, seven hundred thirty-six thousand, seven hundred sixty-eight".