560464364304 has 240 divisors, whose sum is σ = 1732296886320. Its totient is φ = 168057815040.

The previous prime is 560464364293. The next prime is 560464364309. The reversal of 560464364304 is 403463464065.

560464364304 is a `hidden beast` number, since 5 + 604 + 6 + 4 + 3 + 6 + 4 + 30 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 35494560000 + 524969804304 = 188400^2 + 724548^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 560464364304.

It is not an unprimeable number, because it can be changed into a prime (560464364309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79281282 + ... + 79288350.

It is an arithmetic number, because the mean of its divisors is an integer number (7217903693).

Almost surely, 2^560464364304 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 560464364304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866148443160).

560464364304 is an abundant number, since it is smaller than the sum of its proper divisors (1171832522016).

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

560464364304 is a wasteful number, since it uses less digits than its factorization.

560464364304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8170 (or 8161 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 560464364304 in words is "five hundred sixty billion, four hundred sixty-four million, three hundred sixty-four thousand, three hundred four".