8630779564800 has 216 divisors, whose sum is σ = 31648190236880. Its totient is φ = 2301541171200.

The previous prime is 8630779564739. The next prime is 8630779564829. The reversal of 8630779564800 is 84659770368.

8630779564800 is a `hidden beast` number, since 8 + 6 + 30 + 7 + 79 + 56 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24800521 + ... + 25146120.

Almost surely, 2^{8630779564800} is an apocalyptic number.

8630779564800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8630779564800 is an abundant number, since it is smaller than the sum of its proper divisors (23017410672080).

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

8630779564800 is a wasteful number, since it uses less digits than its factorization.

8630779564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49946676 (or 49946651 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 8630779564800 in words is "eight trillion, six hundred thirty billion, seven hundred seventy-nine million, five hundred sixty-four thousand, eight hundred".