564249662710272 has 3840 divisors, whose sum is σ = 2315402970439680. Its totient is φ = 131319595008000.

The previous prime is 564249662710243. The next prime is 564249662710291. The reversal of 564249662710272 is 272017266942465.

564249662710272 is a `hidden beast` number, since 5 + 6 + 4 + 2 + 4 + 96 + 6 + 271 + 0 + 272 = 666.

It is a super-2 number, since 2×564249662710272² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1234681975068 + ... + 1234681975524.

It is an arithmetic number, because the mean of its divisors is an integer number (602969523552).

Almost surely, 2^{564249662710272} 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 564249662710272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157701485219840).

564249662710272 is an abundant number, since it is smaller than the sum of its proper divisors (1751153307729408).

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

564249662710272 is a wasteful number, since it uses less digits than its factorization.

564249662710272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 564249662710272 in words is "five hundred sixty-four trillion, two hundred forty-nine billion, six hundred sixty-two million, seven hundred ten thousand, two hundred seventy-two".