66979904438400 has 192 divisors, whose sum is σ = 224354300450400. Its totient is φ = 17558573670400.

The previous prime is 66979904438371. The next prime is 66979904438417. The reversal of 66979904438400 is 483440997966.

66979904438400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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, 58561341 + ... + 59694140.

Almost surely, 2^{66979904438400} is an apocalyptic number.

66979904438400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66979904438400 is an abundant number, since it is smaller than the sum of its proper divisors (157374396012000).

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

66979904438400 is a wasteful number, since it uses less digits than its factorization.

66979904438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118255567 (or 118255550 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 69.

The spelling of 66979904438400 in words is "sixty-six trillion, nine hundred seventy-nine billion, nine hundred four million, four hundred thirty-eight thousand, four hundred".