564990545728 has 448 divisors, whose sum is σ = 1518775971840. Its totient is φ = 202554114048.

The previous prime is 564990545723. The next prime is 564990545761. The reversal of 564990545728 is 827545099465.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 564990545728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564990545723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 176392575 + ... + 176395777.

Almost surely, 2^564990545728 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 564990545728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759387985920).

564990545728 is an abundant number, since it is smaller than the sum of its proper divisors (953785426112).

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

564990545728 is a wasteful number, since it uses less digits than its factorization.

564990545728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 64.

The spelling of 564990545728 in words is "five hundred sixty-four billion, nine hundred ninety million, five hundred forty-five thousand, seven hundred twenty-eight".