5656668480 has 224 divisors, whose sum is σ = 20007072000. Its totient is φ = 1504548864.

The previous prime is 5656668473. The next prime is 5656668529. The reversal of 5656668480 is 848666565.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 5174814 + ... + 5175906.

Almost surely, 2^5656668480 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 5656668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10003536000).

5656668480 is an abundant number, since it is smaller than the sum of its proper divisors (14350403520).

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

5656668480 is a wasteful number, since it uses less digits than its factorization.

5656668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The square root of 5656668480 is about 75210.8268801773. The cubic root of 5656668480 is about 1781.7779314927. Note that the first 3 decimals are identical.

The spelling of 5656668480 in words is "five billion, six hundred fifty-six million, six hundred sixty-eight thousand, four hundred eighty".