5664377600 has 216 divisors, whose sum is σ = 16302289920. Its totient is φ = 1908264960.

The previous prime is 5664377599. The next prime is 5664377623. The reversal of 5664377600 is 67734665.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2642129 + ... + 2644271.

Almost surely, 2^5664377600 is an apocalyptic number.

5664377600 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 5664377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8151144960).

5664377600 is an abundant number, since it is smaller than the sum of its proper divisors (10637912320).

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

5664377600 is a wasteful number, since it uses less digits than its factorization.

5664377600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 44.

The square root of 5664377600 is about 75262.0594987939. The cubic root of 5664377600 is about 1782.5869886674.

The spelling of 5664377600 in words is "five billion, six hundred sixty-four million, three hundred seventy-seven thousand, six hundred".