5588642304 has 640 divisors, whose sum is σ = 20615823360. Its totient is φ = 1478062080.

The previous prime is 5588642303. The next prime is 5588642317. The reversal of 5588642304 is 4032468855.

5588642304 is a `hidden beast` number, since 5 + 588 + 64 + 2 + 3 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5588642304.

It is not an unprimeable number, because it can be changed into a prime (5588642303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 180278769 + ... + 180278799.

It is an arithmetic number, because the mean of its divisors is an integer number (32212224).

Almost surely, 2^5588642304 is an apocalyptic number.

5588642304 is a gapful number since it is divisible by the number (54) 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 5588642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10307911680).

5588642304 is an abundant number, since it is smaller than the sum of its proper divisors (15027181056).

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

5588642304 is an frugal number, since it uses more digits than its factorization.

5588642304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 5588642304 is about 74757.2224203120. Note that the first 3 decimals coincide. The cubic root of 5588642304 is about 1774.6066500196.

The spelling of 5588642304 in words is "five billion, five hundred eighty-eight million, six hundred forty-two thousand, three hundred four".