5664489600 has 768 divisors, whose sum is σ = 23798476800. Its totient is φ = 1150156800.

The previous prime is 5664489577. The next prime is 5664489613. The reversal of 5664489600 is 69844665.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5664489600.

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, 58396752 + ... + 58396848.

It is an arithmetic number, because the mean of its divisors is an integer number (30987600).

Almost surely, 2^5664489600 is an apocalyptic number.

5664489600 is a gapful number since it is divisible by the number (50) 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 5664489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11899238400).

5664489600 is an abundant number, since it is smaller than the sum of its proper divisors (18133987200).

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

5664489600 is a wasteful number, since it uses less digits than its factorization.

5664489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 5664489600 is about 75262.8035619190. The cubic root of 5664489600 is about 1782.5987374384.

The spelling of 5664489600 in words is "five billion, six hundred sixty-four million, four hundred eighty-nine thousand, six hundred".