5664387456 has 768 divisors, whose sum is σ = 21879244800. Its totient is φ = 1428295680.

The previous prime is 5664387433. The next prime is 5664387493. The reversal of 5664387456 is 6547834665.

5664387456 is a `hidden beast` number, since 56 + 64 + 3 + 87 + 456 = 666.

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

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, 68245591 + ... + 68245673.

It is an arithmetic number, because the mean of its divisors is an integer number (28488600).

Almost surely, 2^5664387456 is an apocalyptic number.

5664387456 is a gapful number since it is divisible by the number (56) 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 5664387456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10939622400).

5664387456 is an abundant number, since it is smaller than the sum of its proper divisors (16214857344).

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

5664387456 is a wasteful number, since it uses less digits than its factorization.

5664387456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 139 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The square root of 5664387456 is about 75262.1249766441. The cubic root of 5664387456 is about 1782.5880225655.

The spelling of 5664387456 in words is "five billion, six hundred sixty-four million, three hundred eighty-seven thousand, four hundred fifty-six".