6631658656 has 96 divisors (see below), whose sum is σ = 15823527552. Its totient is φ = 2670796800.

The previous prime is 6631658641. The next prime is 6631658743. The reversal of 6631658656 is 6568561366.

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 15 ways as a sum of consecutive naturals, for example, 4001380 + ... + 4003036.

It is an arithmetic number, because the mean of its divisors is an integer number (164828412).

Almost surely, 2^6631658656 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 6631658656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7911763776).

6631658656 is an abundant number, since it is smaller than the sum of its proper divisors (9191868896).

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

6631658656 is a wasteful number, since it uses less digits than its factorization.

6631658656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2734 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 52.

The square root of 6631658656 is about 81434.9965064161. The cubic root of 6631658656 is about 1878.7718944621.

The spelling of 6631658656 in words is "six billion, six hundred thirty-one million, six hundred fifty-eight thousand, six hundred fifty-six".