6624569664 has 168 divisors, whose sum is σ = 20361371520. Its totient is φ = 2111890176.

The previous prime is 6624569647. The next prime is 6624569671. The reversal of 6624569664 is 4669654266.

6624569664 is a `hidden beast` number, since 6 + 624 + 5 + 6 + 9 + 6 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6624569664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 910489 + ... + 917735.

It is an arithmetic number, because the mean of its divisors is an integer number (121198640).

Almost surely, 2^6624569664 is an apocalyptic number.

6624569664 is a gapful number since it is divisible by the number (64) 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 6624569664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10180685760).

6624569664 is an abundant number, since it is smaller than the sum of its proper divisors (13736801856).

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

6624569664 is a wasteful number, since it uses less digits than its factorization.

6624569664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7314 (or 7275 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The square root of 6624569664 is about 81391.4594045346. The cubic root of 6624569664 is about 1878.1022104442.

The spelling of 6624569664 in words is "six billion, six hundred twenty-four million, five hundred sixty-nine thousand, six hundred sixty-four".