556716720 has 320 divisors, whose sum is σ = 2108436480. Its totient is φ = 118692864.

The previous prime is 556716709. The next prime is 556716749. The reversal of 556716720 is 27617655.

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 63 ways as a sum of consecutive naturals, for example, 3415359 + ... + 3415521.

It is an arithmetic number, because the mean of its divisors is an integer number (6588864).

Almost surely, 2^556716720 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 556716720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054218240).

556716720 is an abundant number, since it is smaller than the sum of its proper divisors (1551719760).

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

556716720 is a wasteful number, since it uses less digits than its factorization.

556716720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 556716720 is about 23594.8451997465. The cubic root of 556716720 is about 822.6430284367.

The spelling of 556716720 in words is "five hundred fifty-six million, seven hundred sixteen thousand, seven hundred twenty".