564995104740 has 768 divisors, whose sum is σ = 2098239897600. Its totient is φ = 124692825600.

The previous prime is 564995104717. The next prime is 564995104741. The reversal of 564995104740 is 47401599465.

564995104740 is a `hidden beast` number, since 5 + 6 + 49 + 9 + 510 + 47 + 40 = 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 (564995104741) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 584275737 + ... + 584276703.

It is an arithmetic number, because the mean of its divisors is an integer number (2732083200).

Almost surely, 2^564995104740 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 564995104740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049119948800).

564995104740 is an abundant number, since it is smaller than the sum of its proper divisors (1533244792860).

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

564995104740 is a wasteful number, since it uses less digits than its factorization.

564995104740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 564995104740 in words is "five hundred sixty-four billion, nine hundred ninety-five million, one hundred four thousand, seven hundred forty".