556598460672 has 216 divisors, whose sum is σ = 1661345212800. Its totient is φ = 179006091264.

The previous prime is 556598460659. The next prime is 556598460673. The reversal of 556598460672 is 276064895655.

It is a happy number.

556598460672 is a `hidden beast` number, since 5 + 56 + 59 + 8 + 460 + 6 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (556598460673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145590153 + ... + 145593975.

Almost surely, 2^556598460672 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 556598460672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830672606400).

556598460672 is an abundant number, since it is smaller than the sum of its proper divisors (1104746752128).

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

556598460672 is a wasteful number, since it uses less digits than its factorization.

556598460672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6053 (or 6036 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 556598460672 in words is "five hundred fifty-six billion, five hundred ninety-eight million, four hundred sixty thousand, six hundred seventy-two".