556807448695680 has 5376 divisors, whose sum is σ = 2665729366594560. Its totient is φ = 109800125890560.

The previous prime is 556807448695679. The next prime is 556807448695717. The reversal of 556807448695680 is 86596844708655.

556807448695680 is a `hidden beast` number, since 5 + 5 + 6 + 8 + 0 + 7 + 4 + 48 + 6 + 9 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 556807448695680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 965004243552 + ... + 965004244128.

It is an arithmetic number, because the mean of its divisors is an integer number (495857397060).

Almost surely, 2^{556807448695680} 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 556807448695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332864683297280).

556807448695680 is an abundant number, since it is smaller than the sum of its proper divisors (2108921917898880).

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

556807448695680 is a wasteful number, since it uses less digits than its factorization.

556807448695680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 13934592000, while the sum is 81.

The spelling of 556807448695680 in words is "five hundred fifty-six trillion, eight hundred seven billion, four hundred forty-eight million, six hundred ninety-five thousand, six hundred eighty".