5589632664 has 384 divisors, whose sum is σ = 20201529600. Its totient is φ = 1415232000.

The previous prime is 5589632627. The next prime is 5589632677. The reversal of 5589632664 is 4662369855.

5589632664 is a `hidden beast` number, since 558 + 9 + 6 + 3 + 26 + 64 = 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 5589632664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4772799 + ... + 4773969.

It is an arithmetic number, because the mean of its divisors is an integer number (52608150).

Almost surely, 2^5589632664 is an apocalyptic number.

5589632664 is a gapful number since it is divisible by the number (54) 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 5589632664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10100764800).

5589632664 is an abundant number, since it is smaller than the sum of its proper divisors (14611896936).

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

5589632664 is a wasteful number, since it uses less digits than its factorization.

5589632664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1235 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The square root of 5589632664 is about 74763.8459684893. The cubic root of 5589632664 is about 1774.7114694935.

The spelling of 5589632664 in words is "five billion, five hundred eighty-nine million, six hundred thirty-two thousand, six hundred sixty-four".