56717730800640 has 4224 divisors, whose sum is σ = 275909639454720. Its totient is φ = 10761051045888.

The previous prime is 56717730800603. The next prime is 56717730800651. The reversal of 56717730800640 is 4600803771765.

56717730800640 is a `hidden beast` number, since 567 + 1 + 7 + 7 + 30 + 8 + 0 + 0 + 6 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 63943326277 + ... + 63943327163.

Almost surely, 2^{56717730800640} 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 56717730800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137954819727360).

56717730800640 is an abundant number, since it is smaller than the sum of its proper divisors (219191908654080).

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

56717730800640 is a wasteful number, since it uses less digits than its factorization.

56717730800640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 56717730800640 in words is "fifty-six trillion, seven hundred seventeen billion, seven hundred thirty million, eight hundred thousand, six hundred forty".