56633713920 has 864 divisors, whose sum is σ = 238571101440. Its totient is φ = 12680478720.

The previous prime is 56633713919. The next prime is 56633713921. The reversal of 56633713920 is 2931733665.

56633713920 is a `hidden beast` number, since 5 + 6 + 633 + 7 + 1 + 3 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56633713919) and next prime (56633713921).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56633713921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89752005 + ... + 89752635.

It is an arithmetic number, because the mean of its divisors is an integer number (276123960).

Almost surely, 2^56633713920 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 56633713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119285550720).

56633713920 is an abundant number, since it is smaller than the sum of its proper divisors (181937387520).

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

56633713920 is a wasteful number, since it uses less digits than its factorization.

56633713920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 56633713920 in words is "fifty-six billion, six hundred thirty-three million, seven hundred thirteen thousand, nine hundred twenty".