5664636432 has 240 divisors, whose sum is σ = 19596245760. Its totient is φ = 1487490048.

The previous prime is 5664636431. The next prime is 5664636491. The reversal of 5664636432 is 2346364665.

5664636432 is a `hidden beast` number, since 5 + 6 + 6 + 4 + 636 + 4 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (5664636431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3524173 + ... + 3525779.

It is an arithmetic number, because the mean of its divisors is an integer number (81651024).

Almost surely, 2^5664636432 is an apocalyptic number.

5664636432 is a gapful number since it is divisible by the number (52) 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 5664636432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9798122880).

5664636432 is an abundant number, since it is smaller than the sum of its proper divisors (13931609328).

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

5664636432 is a wasteful number, since it uses less digits than its factorization.

5664636432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1901 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 45.

The square root of 5664636432 is about 75263.7790175327. The cubic root of 5664636432 is about 1782.6141398427.

The spelling of 5664636432 in words is "five billion, six hundred sixty-four million, six hundred thirty-six thousand, four hundred thirty-two".