56633642320 has 60 divisors (see below), whose sum is σ = 133280053236. Its totient is φ = 22380305920.

The previous prime is 56633642269. The next prime is 56633642321. The reversal of 56633642320 is 2324633665.

It can be written as a sum of positive squares in 2 ways, for example, as 42506893584 + 14126748736 = 206172^2 + 118856^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56633642321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 499740 + ... + 602500.

Almost surely, 2^56633642320 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 56633642320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66640026618).

56633642320 is an abundant number, since it is smaller than the sum of its proper divisors (76646410916).

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

56633642320 is a wasteful number, since it uses less digits than its factorization.

56633642320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102940 (or 102851 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 40.

The spelling of 56633642320 in words is "fifty-six billion, six hundred thirty-three million, six hundred forty-two thousand, three hundred twenty".