556002720 has 288 divisors, whose sum is σ = 2335761792. Its totient is φ = 117282816.

The previous prime is 556002691. The next prime is 556002721. The reversal of 556002720 is 27200655.

556002720 is a `hidden beast` number, since 55 + 600 + 2 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (556002721) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 128919 + ... + 133161.

It is an arithmetic number, because the mean of its divisors is an integer number (8110284).

Almost surely, 2^556002720 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 556002720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167880896).

556002720 is an abundant number, since it is smaller than the sum of its proper divisors (1779759072).

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

556002720 is a wasteful number, since it uses less digits than its factorization.

556002720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4284 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 556002720 is about 23579.7099218799. The cubic root of 556002720 is about 822.2911927643.

The spelling of 556002720 in words is "five hundred fifty-six million, two thousand, seven hundred twenty".