564028562718720 has 5400 divisors, whose sum is σ = 2488280710685616. Its totient is φ = 121643414323200.

The previous prime is 564028562718713. The next prime is 564028562718791. The reversal of 564028562718720 is 27817265820465.

564028562718720 is a `hidden beast` number, since 5 + 6 + 4 + 0 + 285 + 6 + 271 + 87 + 2 + 0 = 666.

It is a congruent number.

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 359 ways as a sum of consecutive naturals, for example, 13116943319019 + ... + 13116943319061.

Almost surely, 2^{564028562718720} 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 564028562718720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244140355342808).

564028562718720 is an abundant number, since it is smaller than the sum of its proper divisors (1924252147966896).

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

564028562718720 is a wasteful number, since it uses less digits than its factorization.

564028562718720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 564028562718720 in words is "five hundred sixty-four trillion, twenty-eight billion, five hundred sixty-two million, seven hundred eighteen thousand, seven hundred twenty".