56744760960 has 768 divisors, whose sum is σ = 216851281920. Its totient is φ = 13624934400.

The previous prime is 56744760889. The next prime is 56744761019. The reversal of 56744760960 is 6906744765.

56744760960 is a `hidden beast` number, since 56 + 7 + 447 + 60 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 56744760897 and 56744760906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 168381912 + ... + 168382248.

It is an arithmetic number, because the mean of its divisors is an integer number (282358440).

Almost surely, 2^56744760960 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 56744760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108425640960).

56744760960 is an abundant number, since it is smaller than the sum of its proper divisors (160106520960).

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

56744760960 is a wasteful number, since it uses less digits than its factorization.

56744760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 56744760960 in words is "fifty-six billion, seven hundred forty-four million, seven hundred sixty thousand, nine hundred sixty".