564113417280 has 336 divisors, whose sum is σ = 2104974256896. Its totient is φ = 127609896960.

The previous prime is 564113417269. The next prime is 564113417339. The reversal of 564113417280 is 82714311465.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 4501065 + ... + 4624695.

It is an arithmetic number, because the mean of its divisors is an integer number (6264804336).

Almost surely, 2^564113417280 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 564113417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052487128448).

564113417280 is an abundant number, since it is smaller than the sum of its proper divisors (1540860839616).

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

564113417280 is a wasteful number, since it uses less digits than its factorization.

564113417280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123762 (or 123745 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 564113417280 in words is "five hundred sixty-four billion, one hundred thirteen million, four hundred seventeen thousand, two hundred eighty".