5638048800 has 144 divisors (see below), whose sum is σ = 18375823872. Its totient is φ = 1501516800.

The previous prime is 5638048739. The next prime is 5638048813. The reversal of 5638048800 is 88408365.

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 23 ways as a sum of consecutive naturals, for example, 3529602 + ... + 3531198.

It is an arithmetic number, because the mean of its divisors is an integer number (127609888).

Almost surely, 2^5638048800 is an apocalyptic number.

5638048800 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 5638048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9187911936).

5638048800 is an abundant number, since it is smaller than the sum of its proper divisors (12737775072).

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

5638048800 is a wasteful number, since it uses less digits than its factorization.

5638048800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 5638048800 is about 75086.9416077123. The cubic root of 5638048800 is about 1779.8207958293.

The spelling of 5638048800 in words is "five billion, six hundred thirty-eight million, forty-eight thousand, eight hundred".