560630626560 has 648 divisors, whose sum is σ = 2029885513656. Its totient is φ = 148343685120.

The previous prime is 560630626477. The next prime is 560630626571. The reversal of 560630626560 is 65626036065.

560630626560 is a `hidden beast` number, since 5 + 6 + 0 + 63 + 0 + 6 + 26 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41400854784 + 519229771776 = 203472^2 + 720576^2 .

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2023937142 + ... + 2023937418.

Almost surely, 2^560630626560 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 560630626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014942756828).

560630626560 is an abundant number, since it is smaller than the sum of its proper divisors (1469254887096).

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

560630626560 is an frugal number, since it uses more digits than its factorization.

560630626560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 560630626560 in words is "five hundred sixty billion, six hundred thirty million, six hundred twenty-six thousand, five hundred sixty".