560690532864 has 960 divisors, whose sum is σ = 2134462492800. Its totient is φ = 145477140480.

The previous prime is 560690532859. The next prime is 560690532869. The reversal of 560690532864 is 468235096065.

560690532864 is a `hidden beast` number, since 5 + 606 + 9 + 0 + 5 + 3 + 28 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (560690532859) and next prime (560690532869).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 560690532864.

It is not an unprimeable number, because it can be changed into a prime (560690532869) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 603541552 + ... + 603542480.

It is an arithmetic number, because the mean of its divisors is an integer number (2223398430).

Almost surely, 2^560690532864 is an apocalyptic number.

560690532864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 560690532864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067231246400).

560690532864 is an abundant number, since it is smaller than the sum of its proper divisors (1573771959936).

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

560690532864 is an frugal number, since it uses more digits than its factorization.

560690532864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 560690532864 in words is "five hundred sixty billion, six hundred ninety million, five hundred thirty-two thousand, eight hundred sixty-four".