556264672 has 96 divisors (see below), whose sum is σ = 1190488320. Its totient is φ = 255052800.

The previous prime is 556264601. The next prime is 556264703. The reversal of 556264672 is 276462655.

Its product of digits (604800) is a multiple of the sum of its prime factors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3683797 + ... + 3683947.

It is an arithmetic number, because the mean of its divisors is an integer number (12400920).

Almost surely, 2^556264672 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 556264672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595244160).

556264672 is an abundant number, since it is smaller than the sum of its proper divisors (634223648).

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

556264672 is a wasteful number, since it uses less digits than its factorization.

556264672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 328 counting only the distinct ones).

The product of its digits is 604800, while the sum is 43.

The square root of 556264672 is about 23585.2638738684. The cubic root of 556264672 is about 822.4203090414.

The spelling of 556264672 in words is "five hundred fifty-six million, two hundred sixty-four thousand, six hundred seventy-two".