564197460480 has 640 divisors, whose sum is σ = 2081695334400. Its totient is φ = 144687513600.

The previous prime is 564197460479. The next prime is 564197460523. The reversal of 564197460480 is 84064791465.

564197460480 is a `hidden beast` number, since 56 + 4 + 1 + 97 + 460 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 383546145 + ... + 383547615.

It is an arithmetic number, because the mean of its divisors is an integer number (3252648960).

Almost surely, 2^564197460480 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 564197460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040847667200).

564197460480 is an abundant number, since it is smaller than the sum of its proper divisors (1517497873920).

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

564197460480 is a wasteful number, since it uses less digits than its factorization.

564197460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 564197460480 in words is "five hundred sixty-four billion, one hundred ninety-seven million, four hundred sixty thousand, four hundred eighty".