8861575680 has 480 divisors, whose sum is σ = 33398576640. Its totient is φ = 2163179520.

The previous prime is 8861575643. The next prime is 8861575691. The reversal of 8861575680 is 865751688.

8861575680 is a `hidden beast` number, since 8 + 8 + 6 + 1 + 575 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13570234 + ... + 13570886.

It is an arithmetic number, because the mean of its divisors is an integer number (69580368).

Almost surely, 2^8861575680 is an apocalyptic number.

8861575680 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 8861575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16699288320).

8861575680 is an abundant number, since it is smaller than the sum of its proper divisors (24537000960).

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

8861575680 is a wasteful number, since it uses less digits than its factorization.

8861575680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The square root of 8861575680 is about 94135.9425511850. The cubic root of 8861575680 is about 2069.3644481688.

The spelling of 8861575680 in words is "eight billion, eight hundred sixty-one million, five hundred seventy-five thousand, six hundred eighty".