564785257680 has 480 divisors, whose sum is σ = 2241910794240. Its totient is φ = 124690268160.

The previous prime is 564785257657. The next prime is 564785257681. The reversal of 564785257680 is 86752587465.

564785257680 is a `hidden beast` number, since 5 + 6 + 4 + 7 + 8 + 52 + 576 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564785257681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88897384 + ... + 88903736.

It is an arithmetic number, because the mean of its divisors is an integer number (4670647488).

Almost surely, 2^564785257680 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 564785257680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120955397120).

564785257680 is an abundant number, since it is smaller than the sum of its proper divisors (1677125536560).

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

564785257680 is a wasteful number, since it uses less digits than its factorization.

564785257680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6979 (or 6970 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 63.

The spelling of 564785257680 in words is "five hundred sixty-four billion, seven hundred eighty-five million, two hundred fifty-seven thousand, six hundred eighty".