5608148400 has 180 divisors, whose sum is σ = 20182991192. Its totient is φ = 1495480320.

The previous prime is 5608148393. The next prime is 5608148401. The reversal of 5608148400 is 48418065.

5608148400 is a `hidden beast` number, since 5 + 608 + 1 + 4 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 (5608148401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68352 + ... + 126048.

Almost surely, 2^5608148400 is an apocalyptic number.

5608148400 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 5608148400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10091495596).

5608148400 is an abundant number, since it is smaller than the sum of its proper divisors (14574842792).

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

5608148400 is a wasteful number, since it uses less digits than its factorization.

5608148400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57730 (or 57707 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5608148400 is about 74887.5717325645. The cubic root of 5608148400 is about 1776.6688952300.

The spelling of 5608148400 in words is "five billion, six hundred eight million, one hundred forty-eight thousand, four hundred".