5638844160 has 252 divisors, whose sum is σ = 20254278072. Its totient is φ = 1503442944.

The previous prime is 5638844147. The next prime is 5638844161. The reversal of 5638844160 is 614488365.

5638844160 is a `hidden beast` number, since 5 + 638 + 8 + 4 + 4 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×5638844160² = 63593126921532211200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5638844161) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 930099 + ... + 936141.

Almost surely, 2^5638844160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5638844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10127139036).

5638844160 is an abundant number, since it is smaller than the sum of its proper divisors (14615433912).

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

5638844160 is an frugal number, since it uses more digits than its factorization.

5638844160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6082 (or 6053 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 5638844160 is about 75092.2376814009. The cubic root of 5638844160 is about 1779.9044850486.

The spelling of 5638844160 in words is "five billion, six hundred thirty-eight million, eight hundred forty-four thousand, one hundred sixty".