56645619840 has 480 divisors, whose sum is σ = 206710604100. Its totient is φ = 14782390272.

The previous prime is 56645619839. The next prime is 56645619907. The reversal of 56645619840 is 4891654665.

56645619840 is a `hidden beast` number, since 5 + 66 + 456 + 1 + 98 + 40 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 29388930624 + 27256689216 = 171432^2 + 165096^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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 (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 145618366 + ... + 145618754.

Almost surely, 2^56645619840 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 56645619840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103355302050).

56645619840 is an abundant number, since it is smaller than the sum of its proper divisors (150064984260).

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

56645619840 is an equidigital number, since it uses as much as digits as its factorization.

56645619840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 56645619840 in words is "fifty-six billion, six hundred forty-five million, six hundred nineteen thousand, eight hundred forty".