5656440600 has 960 divisors, whose sum is σ = 23334220800. Its totient is φ = 1259089920.

The previous prime is 5656440599. The next prime is 5656440631. The reversal of 5656440600 is 60446565.

It is a happy number.

5656440600 is a `hidden beast` number, since 5 + 6 + 5 + 6 + 4 + 40 + 600 = 666.

It is a super-2 number, since 2×5656440600² = 63990640522656720000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 120349777 + ... + 120349823.

It is an arithmetic number, because the mean of its divisors is an integer number (24306480).

Almost surely, 2^5656440600 is an apocalyptic number.

5656440600 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 5656440600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11667110400).

5656440600 is an abundant number, since it is smaller than the sum of its proper divisors (17677780200).

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

5656440600 is a wasteful number, since it uses less digits than its factorization.

5656440600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5656440600 is about 75209.3119234580. The cubic root of 5656440600 is about 1781.7540047468.

The spelling of 5656440600 in words is "five billion, six hundred fifty-six million, four hundred forty thousand, six hundred".