560413697760 has 576 divisors, whose sum is σ = 2287616385600. Its totient is φ = 127761629184.

The previous prime is 560413697681. The next prime is 560413697771. The reversal of 560413697760 is 67796314065.

It is a happy number.

560413697760 is a `hidden beast` number, since 560 + 4 + 1 + 3 + 6 + 9 + 7 + 76 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 560413697697 and 560413697706.

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 95 ways as a sum of consecutive naturals, for example, 86573884 + ... + 86580356.

It is an arithmetic number, because the mean of its divisors is an integer number (3971556225).

Almost surely, 2^560413697760 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 560413697760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143808192800).

560413697760 is an abundant number, since it is smaller than the sum of its proper divisors (1727202687840).

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

560413697760 is a wasteful number, since it uses less digits than its factorization.

560413697760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6920 (or 6899 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 560413697760 in words is "five hundred sixty billion, four hundred thirteen million, six hundred ninety-seven thousand, seven hundred sixty".