5656756000 has 480 divisors, whose sum is σ = 17618065920. Its totient is φ = 1778112000.

The previous prime is 5656755997. The next prime is 5656756013. The reversal of 5656756000 is 6576565.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 182475985 + ... + 182476015.

It is an arithmetic number, because the mean of its divisors is an integer number (36704304).

Almost surely, 2^5656756000 is an apocalyptic number.

5656756000 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 5656756000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8809032960).

5656756000 is an abundant number, since it is smaller than the sum of its proper divisors (11961309920).

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

5656756000 is an equidigital number, since it uses as much as digits as its factorization.

5656756000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 40.

The square root of 5656756000 is about 75211.4087090516. The cubic root of 5656756000 is about 1781.7871206707.

The spelling of 5656756000 in words is "five billion, six hundred fifty-six million, seven hundred fifty-six thousand".