6713568072 has 192 divisors, whose sum is σ = 20618956800. Its totient is φ = 1962195840.

The previous prime is 6713568019. The next prime is 6713568109. The reversal of 6713568072 is 2708653176.

6713568072 is a `hidden beast` number, since 6 + 7 + 13 + 568 + 0 + 72 = 666.

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 47 ways as a sum of consecutive naturals, for example, 971943 + ... + 978825.

It is an arithmetic number, because the mean of its divisors is an integer number (107390400).

Almost surely, 2^6713568072 is an apocalyptic number.

6713568072 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6713568072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10309478400).

6713568072 is an abundant number, since it is smaller than the sum of its proper divisors (13905388728).

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

6713568072 is a wasteful number, since it uses less digits than its factorization.

6713568072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6968 (or 6961 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 6713568072 is about 81936.3659921527. The cubic root of 6713568072 is about 1886.4753390673.

The spelling of 6713568072 in words is "six billion, seven hundred thirteen million, five hundred sixty-eight thousand, seventy-two".