56724295680 has 624 divisors, whose sum is σ = 218727221760. Its totient is φ = 13939900416.

The previous prime is 56724295669. The next prime is 56724295699. The reversal of 56724295680 is 8659242765.

56724295680 is a `hidden beast` number, since 5 + 6 + 72 + 4 + 2 + 9 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

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

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, 93449937 + ... + 93450543.

Almost surely, 2^56724295680 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 56724295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109363610880).

56724295680 is an abundant number, since it is smaller than the sum of its proper divisors (162002926080).

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

56724295680 is a wasteful number, since it uses less digits than its factorization.

56724295680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 56724295680 in words is "fifty-six billion, seven hundred twenty-four million, two hundred ninety-five thousand, six hundred eighty".