5604638400 has 168 divisors, whose sum is σ = 20431140240. Its totient is φ = 1494558720.

The previous prime is 5604638383. The next prime is 5604638407. The reversal of 5604638400 is 48364065.

5604638400 is a `hidden beast` number, since 5 + 604 + 6 + 3 + 8 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5604638407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21669 + ... + 108068.

It is an arithmetic number, because the mean of its divisors is an integer number (121613930).

Almost surely, 2^5604638400 is an apocalyptic number.

5604638400 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 5604638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10215570120).

5604638400 is an abundant number, since it is smaller than the sum of its proper divisors (14826501840).

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

5604638400 is a wasteful number, since it uses less digits than its factorization.

5604638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129768 (or 129747 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5604638400 is about 74864.1329342697. The cubic root of 5604638400 is about 1776.2981603137.

The spelling of 5604638400 in words is "five billion, six hundred four million, six hundred thirty-eight thousand, four hundred".