56379872640 has 512 divisors, whose sum is σ = 222751549440. Its totient is φ = 11811225600.

The previous prime is 56379872621. The next prime is 56379872669. The reversal of 56379872640 is 4627897365.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26381652 + ... + 26383788.

It is an arithmetic number, because the mean of its divisors is an integer number (435061620).

Almost surely, 2^56379872640 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 56379872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111375774720).

56379872640 is an abundant number, since it is smaller than the sum of its proper divisors (166371676800).

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

56379872640 is a wasteful number, since it uses less digits than its factorization.

56379872640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 56379872640 in words is "fifty-six billion, three hundred seventy-nine million, eight hundred seventy-two thousand, six hundred forty".