6838312572 has 432 divisors, whose sum is σ = 23426108160. Its totient is φ = 1703130624.

The previous prime is 6838312561. The next prime is 6838312603. The reversal of 6838312572 is 2752138386.

6838312572 is a `hidden beast` number, since 68 + 3 + 8 + 3 + 12 + 572 = 666.

Its product of digits (483840) is a multiple of the sum of its prime factors (384).

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 143 ways as a sum of consecutive naturals, for example, 21847488 + ... + 21847800.

Almost surely, 2^6838312572 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6838312572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11713054080).

6838312572 is an abundant number, since it is smaller than the sum of its proper divisors (16587795588).

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

6838312572 is a wasteful number, since it uses less digits than its factorization.

6838312572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 357 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 6838312572 is about 82694.0903088002. The cubic root of 6838312572 is about 1898.0878798367.

The spelling of 6838312572 in words is "six billion, eight hundred thirty-eight million, three hundred twelve thousand, five hundred seventy-two".