560390757696 has 1680 divisors, whose sum is σ = 2260291461120. Its totient is φ = 133983590400.

The previous prime is 560390757659. The next prime is 560390757737. The reversal of 560390757696 is 696757093065.

560390757696 is a `hidden beast` number, since 56 + 0 + 3 + 9 + 0 + 7 + 576 + 9 + 6 = 666.

It is a super-2 number, since 2×560390757696² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3130674535 + ... + 3130674713.

It is an arithmetic number, because the mean of its divisors is an integer number (1345411584).

Almost surely, 2^560390757696 is an apocalyptic number.

560390757696 is a gapful number since it is divisible by the number (56) 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 560390757696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130145730560).

560390757696 is an abundant number, since it is smaller than the sum of its proper divisors (1699900703424).

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

560390757696 is a wasteful number, since it uses less digits than its factorization.

560390757696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 64297800, while the sum is 63.

The spelling of 560390757696 in words is "five hundred sixty billion, three hundred ninety million, seven hundred fifty-seven thousand, six hundred ninety-six".