56963312640 has 704 divisors, whose sum is σ = 225733334400. Its totient is φ = 13525843968.

The previous prime is 56963312569. The next prime is 56963312677. The reversal of 56963312640 is 4621336965.

56963312640 is a `hidden beast` number, since 5 + 6 + 9 + 633 + 1 + 2 + 6 + 4 + 0 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 52115934 + ... + 52117026.

Almost surely, 2^56963312640 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 56963312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112866667200).

56963312640 is an abundant number, since it is smaller than the sum of its proper divisors (168770021760).

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

56963312640 is a wasteful number, since it uses less digits than its factorization.

56963312640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 56963312640 in words is "fifty-six billion, nine hundred sixty-three million, three hundred twelve thousand, six hundred forty".