5656804400 has 240 divisors, whose sum is σ = 15692745600. Its totient is φ = 1941012480.

The previous prime is 5656804381. The next prime is 5656804421. The reversal of 5656804400 is 44086565.

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, 7867241 + ... + 7867959.

It is an arithmetic number, because the mean of its divisors is an integer number (65386440).

Almost surely, 2^5656804400 is an apocalyptic number.

5656804400 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 5656804400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7846372800).

5656804400 is an abundant number, since it is smaller than the sum of its proper divisors (10035941200).

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

5656804400 is a wasteful number, since it uses less digits than its factorization.

5656804400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The square root of 5656804400 is about 75211.7304680593. The cubic root of 5656804400 is about 1781.7922023966.

The spelling of 5656804400 in words is "five billion, six hundred fifty-six million, eight hundred four thousand, four hundred".