5608310400 has 960 divisors, whose sum is σ = 25894503360. Its totient is φ = 1161216000.

The previous prime is 5608310359. The next prime is 5608310413. The reversal of 5608310400 is 40138065.

5608310400 is a `hidden beast` number, since 5 + 608 + 3 + 10 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19958260 + ... + 19958540.

It is an arithmetic number, because the mean of its divisors is an integer number (26973441).

Almost surely, 2^5608310400 is an apocalyptic number.

5608310400 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 5608310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12947251680).

5608310400 is an abundant number, since it is smaller than the sum of its proper divisors (20286192960).

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

5608310400 is a wasteful number, since it uses less digits than its factorization.

5608310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5608310400 is about 74888.6533461512. The cubic root of 5608310400 is about 1776.6860023373.

Adding to 5608310400 its reverse (40138065), we get a palindrome (5648448465).

The spelling of 5608310400 in words is "five billion, six hundred eight million, three hundred ten thousand, four hundred".