556615604480 has 288 divisors, whose sum is σ = 1493639820288. Its totient is φ = 197347737600.

The previous prime is 556615604459. The next prime is 556615604483. The reversal of 556615604480 is 84406516655.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (556615604483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67570922 + ... + 67579158.

It is an arithmetic number, because the mean of its divisors is an integer number (5186249376).

Almost surely, 2^556615604480 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 556615604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746819910144).

556615604480 is an abundant number, since it is smaller than the sum of its proper divisors (937024215808).

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

556615604480 is a wasteful number, since it uses less digits than its factorization.

556615604480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8433 (or 8419 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 50.

The spelling of 556615604480 in words is "five hundred fifty-six billion, six hundred fifteen million, six hundred four thousand, four hundred eighty".