656730064800 has 432 divisors, whose sum is σ = 2393354815488. Its totient is φ = 169276262400.

The previous prime is 656730064789. The next prime is 656730064801. The reversal of 656730064800 is 8460037656.

656730064800 is a `hidden beast` number, since 6 + 567 + 3 + 0 + 0 + 6 + 4 + 80 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (656730064801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 306452529 + ... + 306454671.

It is an arithmetic number, because the mean of its divisors is an integer number (5540173184).

Almost surely, 2^656730064800 is an apocalyptic number.

656730064800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 656730064800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196677407744).

656730064800 is an abundant number, since it is smaller than the sum of its proper divisors (1736624750688).

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

656730064800 is a wasteful number, since it uses less digits than its factorization.

656730064800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3573 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 656730064800 in words is "six hundred fifty-six billion, seven hundred thirty million, sixty-four thousand, eight hundred".