6838607431062 has 256 divisors, whose sum is σ = 17987020185600. Its totient is φ = 1903840848000.

The previous prime is 6838607431057. The next prime is 6838607431087. The reversal of 6838607431062 is 2601347068386.

6838607431062 is a `hidden beast` number, since 68 + 38 + 60 + 7 + 431 + 0 + 62 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48809713 + ... + 48949619.

It is an arithmetic number, because the mean of its divisors is an integer number (70261797600).

Almost surely, 2^{6838607431062} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6838607431062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8993510092800).

6838607431062 is an abundant number, since it is smaller than the sum of its proper divisors (11148412754538).

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

6838607431062 is a wasteful number, since it uses less digits than its factorization.

6838607431062 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140080 (or 140074 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 6838607431062 in words is "six trillion, eight hundred thirty-eight billion, six hundred seven million, four hundred thirty-one thousand, sixty-two".