564320213120160 has 480 divisors, whose sum is σ = 2278035671167872. Its totient is φ = 128877301463040.

The previous prime is 564320213120141. The next prime is 564320213120179. The reversal of 564320213120160 is 61021312023465.

564320213120160 is a `hidden beast` number, since 5 + 6 + 4 + 320 + 2 + 1 + 312 + 0 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (564320213120141) and next prime (564320213120179).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 103577074 + ... + 108889166.

Almost surely, 2^{564320213120160} 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 564320213120160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139017835583936).

564320213120160 is an abundant number, since it is smaller than the sum of its proper divisors (1713715458047712).

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

564320213120160 is a wasteful number, since it uses less digits than its factorization.

564320213120160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5313298 (or 5313281 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 564320213120160 in words is "five hundred sixty-four trillion, three hundred twenty billion, two hundred thirteen million, one hundred twenty thousand, one hundred sixty".