8564880000 has 320 divisors, whose sum is σ = 28754795520. Its totient is φ = 2257920000.

The previous prime is 8564879957. The next prime is 8564880011. The reversal of 8564880000 is 884658.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30479860 + ... + 30480140.

It is an arithmetic number, because the mean of its divisors is an integer number (89858736).

Almost surely, 2^8564880000 is an apocalyptic number.

8564880000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8564880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14377397760).

8564880000 is an abundant number, since it is smaller than the sum of its proper divisors (20189915520).

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

8564880000 is a wasteful number, since it uses less digits than its factorization.

8564880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 8564880000 is about 92546.6368918936. The cubic root of 8564880000 is about 2046.0069008844.

The spelling of 8564880000 in words is "eight billion, five hundred sixty-four million, eight hundred eighty thousand".