6838104000672 has 192 divisors, whose sum is σ = 23180014771200. Its totient is φ = 1920629594880.

The previous prime is 6838104000601. The next prime is 6838104000677. The reversal of 6838104000672 is 2760004018386.

It is not an unprimeable number, because it can be changed into a prime (6838104000677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9224854 + ... + 9938517.

It is an arithmetic number, because the mean of its divisors is an integer number (120729243600).

Almost surely, 2^{6838104000672} is an apocalyptic number.

It is an amenable number.

6838104000672 is an abundant number, since it is smaller than the sum of its proper divisors (16341910770528).

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

6838104000672 is a wasteful number, since it uses less digits than its factorization.

6838104000672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19163456 (or 19163442 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 6838104000672 in words is "six trillion, eight hundred thirty-eight billion, one hundred four million, six hundred seventy-two", and thus it is an aban number.