560417675040 has 288 divisors, whose sum is σ = 1971059650560. Its totient is φ = 144921249792.

The previous prime is 560417675029. The next prime is 560417675119. The reversal of 560417675040 is 40576714065.

560417675040 is a `hidden beast` number, since 560 + 4 + 17 + 6 + 75 + 0 + 4 + 0 = 666.

560417675040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7339137 + ... + 7415103.

It is an arithmetic number, because the mean of its divisors is an integer number (6843957120).

Almost surely, 2^560417675040 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 560417675040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985529825280).

560417675040 is an abundant number, since it is smaller than the sum of its proper divisors (1410641975520).

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

560417675040 is a wasteful number, since it uses less digits than its factorization.

560417675040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76144 (or 76133 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 560417675040 in words is "five hundred sixty billion, four hundred seventeen million, six hundred seventy-five thousand, forty".