564526340640 has 288 divisors, whose sum is σ = 1934789141376. Its totient is φ = 149890191360.

The previous prime is 564526340611. The next prime is 564526340641. The reversal of 564526340640 is 46043625465.

It is a happy number.

564526340640 is a `hidden beast` number, since 5 + 6 + 4 + 5 + 2 + 634 + 0 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (564526340641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485404699 + ... + 485405861.

It is an arithmetic number, because the mean of its divisors is an integer number (6718017852).

Almost surely, 2^564526340640 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 564526340640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967394570688).

564526340640 is an abundant number, since it is smaller than the sum of its proper divisors (1370262800736).

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

564526340640 is a wasteful number, since it uses less digits than its factorization.

564526340640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2352 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 564526340640 in words is "five hundred sixty-four billion, five hundred twenty-six million, three hundred forty thousand, six hundred forty".