5608629600 has 288 divisors, whose sum is σ = 21261139200. Its totient is φ = 1257584640.

The previous prime is 5608629599. The next prime is 5608629617. The reversal of 5608629600 is 69268065.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 887251 + ... + 893549.

It is an arithmetic number, because the mean of its divisors is an integer number (73823400).

Almost surely, 2^5608629600 is an apocalyptic number.

5608629600 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 5608629600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10630569600).

5608629600 is an abundant number, since it is smaller than the sum of its proper divisors (15652509600).

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

5608629600 is a wasteful number, since it uses less digits than its factorization.

5608629600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6382 (or 6369 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 5608629600 is about 74890.7844798010. The cubic root of 5608629600 is about 1776.7197087107.

The spelling of 5608629600 in words is "five billion, six hundred eight million, six hundred twenty-nine thousand, six hundred".