5664431520 has 384 divisors, whose sum is σ = 21772800000. Its totient is φ = 1364014080.

The previous prime is 5664431477. The next prime is 5664431527. The reversal of 5664431520 is 251344665.

5664431520 is a `hidden beast` number, since 5 + 6 + 644 + 3 + 1 + 5 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5664431527) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 9456181 + ... + 9456779.

It is an arithmetic number, because the mean of its divisors is an integer number (56700000).

Almost surely, 2^5664431520 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 5664431520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10886400000).

5664431520 is an abundant number, since it is smaller than the sum of its proper divisors (16108368480).

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

5664431520 is a wasteful number, since it uses less digits than its factorization.

5664431520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5664431520 is about 75262.4177129595. The cubic root of 5664431520 is about 1782.5926448808.

The spelling of 5664431520 in words is "five billion, six hundred sixty-four million, four hundred thirty-one thousand, five hundred twenty".