564660313360 has 240 divisors, whose sum is σ = 1575949132800. Its totient is φ = 186863846400.

The previous prime is 564660313351. The next prime is 564660313369. The reversal of 564660313360 is 63313066465.

It is an interprime number because it is at equal distance from previous prime (564660313351) and next prime (564660313369).

It is not an unprimeable number, because it can be changed into a prime (564660313369) 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, 8903041 + ... + 8966239.

It is an arithmetic number, because the mean of its divisors is an integer number (6566454720).

Almost surely, 2^564660313360 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 564660313360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787974566400).

564660313360 is an abundant number, since it is smaller than the sum of its proper divisors (1011288819440).

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

564660313360 is a wasteful number, since it uses less digits than its factorization.

564660313360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63318 (or 63301 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 43.

The spelling of 564660313360 in words is "five hundred sixty-four billion, six hundred sixty million, three hundred thirteen thousand, three hundred sixty".