56627281368 has 384 divisors, whose sum is σ = 185943813120. Its totient is φ = 15232250880.

The previous prime is 56627281349. The next prime is 56627281409. The reversal of 56627281368 is 86318272665.

56627281368 is a `hidden beast` number, since 5 + 6 + 6 + 272 + 8 + 1 + 368 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76214005 + ... + 76214747.

It is an arithmetic number, because the mean of its divisors is an integer number (484228680).

Almost surely, 2^56627281368 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 56627281368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92971906560).

56627281368 is an abundant number, since it is smaller than the sum of its proper divisors (129316531752).

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

56627281368 is a wasteful number, since it uses less digits than its factorization.

56627281368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 920 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 56627281368 in words is "fifty-six billion, six hundred twenty-seven million, two hundred eighty-one thousand, three hundred sixty-eight".