5638760800 has 36 divisors (see below), whose sum is σ = 13765626756. Its totient is φ = 2255504000.

The previous prime is 5638760741. The next prime is 5638760819. The reversal of 5638760800 is 80678365.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3523426 + ... + 3525025.

It is an arithmetic number, because the mean of its divisors is an integer number (382378521).

Almost surely, 2^5638760800 is an apocalyptic number.

5638760800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5638760800 is an abundant number, since it is smaller than the sum of its proper divisors (8126865956).

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

5638760800 is a wasteful number, since it uses less digits than its factorization.

5638760800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7048471 (or 7048458 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 5638760800 is about 75091.6826286374. The cubic root of 5638760800 is about 1779.8957141276.

The spelling of 5638760800 in words is "five billion, six hundred thirty-eight million, seven hundred sixty thousand, eight hundred".