56994416640 has 768 divisors, whose sum is σ = 236658240000. Its totient is φ = 13005619200.

The previous prime is 56994416629. The next prime is 56994416651. The reversal of 56994416640 is 4661449965.

56994416640 is a `hidden beast` number, since 56 + 99 + 441 + 6 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56994416629) and next prime (56994416651).

It is a tau number, because it is divible by the number of its divisors (768).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94832340 + ... + 94832940.

It is an arithmetic number, because the mean of its divisors is an integer number (308148750).

Almost surely, 2^56994416640 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 56994416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118329120000).

56994416640 is an abundant number, since it is smaller than the sum of its proper divisors (179663823360).

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

56994416640 is an equidigital number, since it uses as much as digits as its factorization.

56994416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 56994416640 in words is "fifty-six billion, nine hundred ninety-four million, four hundred sixteen thousand, six hundred forty".