6656776204800 has 240 divisors, whose sum is σ = 22584579887232. Its totient is φ = 1727163187200.

The previous prime is 6656776204781. The next prime is 6656776204847. The reversal of 6656776204800 is 84026776566.

It is a tau number, because it is divible by the number of its divisors (240).

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, 921816 + ... + 3763415.

Almost surely, 2^{6656776204800} is an apocalyptic number.

6656776204800 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 6656776204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11292289943616).

6656776204800 is an abundant number, since it is smaller than the sum of its proper divisors (15927803682432).

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

6656776204800 is a wasteful number, since it uses less digits than its factorization.

6656776204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4685299 (or 4685278 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 57.

The spelling of 6656776204800 in words is "six trillion, six hundred fifty-six billion, seven hundred seventy-six million, two hundred four thousand, eight hundred".