5664618960 has 1280 divisors, whose sum is σ = 26638295040. Its totient is φ = 955514880.

The previous prime is 5664618931. The next prime is 5664618961. The reversal of 5664618960 is 698164665.

It is a happy number.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5664618961) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 77597484 + ... + 77597556.

It is an arithmetic number, because the mean of its divisors is an integer number (20811168).

Almost surely, 2^5664618960 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 5664618960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13319147520).

5664618960 is an abundant number, since it is smaller than the sum of its proper divisors (20973676080).

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

5664618960 is a wasteful number, since it uses less digits than its factorization.

5664618960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The square root of 5664618960 is about 75263.6629456739. The cubic root of 5664618960 is about 1782.6123070763.

The spelling of 5664618960 in words is "five billion, six hundred sixty-four million, six hundred eighteen thousand, nine hundred sixty".