5656679280 has 640 divisors, whose sum is σ = 24041318400. Its totient is φ = 1193066496.

The previous prime is 5656679243. The next prime is 5656679311. The reversal of 5656679280 is 829766565.

It is a happy number.

5656679280 is a `hidden beast` number, since 5 + 6 + 566 + 79 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15165174 + ... + 15165546.

It is an arithmetic number, because the mean of its divisors is an integer number (37564560).

Almost surely, 2^5656679280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5656679280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12020659200).

5656679280 is an abundant number, since it is smaller than the sum of its proper divisors (18384639120).

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

5656679280 is a wasteful number, since it uses less digits than its factorization.

5656679280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The square root of 5656679280 is about 75210.8986783166. The cubic root of 5656679280 is about 1781.7790654457.

The spelling of 5656679280 in words is "five billion, six hundred fifty-six million, six hundred seventy-nine thousand, two hundred eighty".