6316572672 has 240 divisors, whose sum is σ = 19031073600. Its totient is φ = 2070282240.

The previous prime is 6316572659. The next prime is 6316572707. The reversal of 6316572672 is 2762756136.

6316572672 is a `hidden beast` number, since 6 + 3 + 1 + 6 + 572 + 6 + 72 = 666.

Its product of digits (635040) is a multiple of the sum of its prime divisors (245).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48218047 + ... + 48218177.

It is an arithmetic number, because the mean of its divisors is an integer number (79296140).

Almost surely, 2^6316572672 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 6316572672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9515536800).

6316572672 is an abundant number, since it is smaller than the sum of its proper divisors (12714500928).

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

6316572672 is a wasteful number, since it uses less digits than its factorization.

6316572672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 245 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 6316572672 is about 79476.8687858298. The cubic root of 6316572672 is about 1848.5328198813.

The spelling of 6316572672 in words is "six billion, three hundred sixteen million, five hundred seventy-two thousand, six hundred seventy-two".