564078265632 has 384 divisors, whose sum is σ = 1999056568320. Its totient is φ = 151247416320.

The previous prime is 564078265631. The next prime is 564078265693. The reversal of 564078265632 is 236562870465.

564078265632 is a `hidden beast` number, since 5 + 6 + 4 + 0 + 78 + 2 + 6 + 563 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (564078265631) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7334257 + ... + 7410767.

It is an arithmetic number, because the mean of its divisors is an integer number (5205876480).

Almost surely, 2^564078265632 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 564078265632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999528284160).

564078265632 is an abundant number, since it is smaller than the sum of its proper divisors (1434978302688).

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

564078265632 is a wasteful number, since it uses less digits than its factorization.

564078265632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76613 (or 76599 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 564078265632 in words is "five hundred sixty-four billion, seventy-eight million, two hundred sixty-five thousand, six hundred thirty-two".