6627089664 has 216 divisors, whose sum is σ = 20798595272. Its totient is φ = 2017198080.

The previous prime is 6627089663. The next prime is 6627089683. The reversal of 6627089664 is 4669807266.

6627089664 is a `hidden beast` number, since 6 + 627 + 0 + 8 + 9 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 324000000 + 6303089664 = 18000^2 + 79392^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6627089664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6627089663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2904204 + ... + 2906484.

Almost surely, 2^6627089664 is an apocalyptic number.

6627089664 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 6627089664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10399297636).

6627089664 is an abundant number, since it is smaller than the sum of its proper divisors (14171505608).

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

6627089664 is a wasteful number, since it uses less digits than its factorization.

6627089664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 6627089664 is about 81406.9386723269. The cubic root of 6627089664 is about 1878.3403249086.

The spelling of 6627089664 in words is "six billion, six hundred twenty-seven million, eighty-nine thousand, six hundred sixty-four".