5664435600 has 120 divisors (see below), whose sum is σ = 18442773952. Its totient is φ = 1485734400.

The previous prime is 5664435563. The next prime is 5664435613. The reversal of 5664435600 is 65344665.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 34509 + ... + 111891.

Almost surely, 2^5664435600 is an apocalyptic number.

5664435600 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 5664435600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9221386976).

5664435600 is an abundant number, since it is smaller than the sum of its proper divisors (12778338352).

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

5664435600 is a wasteful number, since it uses less digits than its factorization.

5664435600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77465 (or 77454 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The square root of 5664435600 is about 75262.4448181163. Note that the first 3 decimals coincide. The cubic root of 5664435600 is about 1782.5930728717.

The spelling of 5664435600 in words is "five billion, six hundred sixty-four million, four hundred thirty-five thousand, six hundred".