6716564928 has 112 divisors (see below), whose sum is σ = 19896856320. Its totient is φ = 2221689600.

The previous prime is 6716564917. The next prime is 6716564951. The reversal of 6716564928 is 8294656176.

6716564928 is a `hidden beast` number, since 6 + 71 + 6 + 564 + 9 + 2 + 8 = 666.

It is a super-2 number, since 2×6716564928² = 90224488864079290368, which contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211533 + ... + 241203.

Almost surely, 2^6716564928 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 6716564928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9948428160).

6716564928 is an abundant number, since it is smaller than the sum of its proper divisors (13180291392).

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

6716564928 is a wasteful number, since it uses less digits than its factorization.

6716564928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29823 (or 29807 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 6716564928 is about 81954.6516556565. The cubic root of 6716564928 is about 1886.7559972742.

The spelling of 6716564928 in words is "six billion, seven hundred sixteen million, five hundred sixty-four thousand, nine hundred twenty-eight".