6338412976000 has 128 divisors (see below), whose sum is σ = 18010148045760. Its totient is φ = 2173170124800.

The previous prime is 6338412975977. The next prime is 6338412976109. The reversal of 6338412976000 is 6792148336.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×6338412976000³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28184487 + ... + 28408486.

Almost surely, 2^{6338412976000} is an apocalyptic number.

It is an amenable number.

6338412976000 is an abundant number, since it is smaller than the sum of its proper divisors (11671735069760).

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

6338412976000 is an equidigital number, since it uses as much as digits as its factorization.

6338412976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56593009 (or 56592987 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

The spelling of 6338412976000 in words is "six trillion, three hundred thirty-eight billion, four hundred twelve million, nine hundred seventy-six thousand".