5608468800 has 252 divisors, whose sum is σ = 21746602176. Its totient is φ = 1359590400.

The previous prime is 5608468799. The next prime is 5608468807. The reversal of 5608468800 is 88648065.

5608468800 is a `hidden beast` number, since 560 + 8 + 4 + 6 + 8 + 80 + 0 = 666.

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 (5608468807) 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 35 ways as a sum of consecutive naturals, for example, 140697 + ... + 176103.

Almost surely, 2^5608468800 is an apocalyptic number.

5608468800 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 5608468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10873301088).

5608468800 is an abundant number, since it is smaller than the sum of its proper divisors (16138133376).

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

5608468800 is a wasteful number, since it uses less digits than its factorization.

5608468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35446 (or 35428 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 5608468800 is about 74889.7109087757. The cubic root of 5608468800 is about 1776.7027289681.

The spelling of 5608468800 in words is "five billion, six hundred eight million, four hundred sixty-eight thousand, eight hundred".