6656873932800 has 2880 divisors, whose sum is σ = 31379341593600. Its totient is φ = 1356831129600.

The previous prime is 6656873932771. The next prime is 6656873932859. The reversal of 6656873932800 is 82393786566.

6656873932800 is a `hidden beast` number, since 6 + 6 + 568 + 7 + 39 + 32 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11699250916 + ... + 11699251484.

It is an arithmetic number, because the mean of its divisors is an integer number (10895604720).

Almost surely, 2^{6656873932800} is an apocalyptic number.

6656873932800 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 6656873932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15689670796800).

6656873932800 is an abundant number, since it is smaller than the sum of its proper divisors (24722467660800).

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

6656873932800 is a wasteful number, since it uses less digits than its factorization.

6656873932800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 6656873932800 in words is "six trillion, six hundred fifty-six billion, eight hundred seventy-three million, nine hundred thirty-two thousand, eight hundred".