8944000560 has 800 divisors, whose sum is σ = 36770842944. Its totient is φ = 2007244800.

The previous prime is 8944000553. The next prime is 8944000579. The reversal of 8944000560 is 650004498.

8944000560 is a `hidden beast` number, since 8 + 94 + 4 + 0 + 0 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 146622930 + ... + 146622990.

Almost surely, 2^8944000560 is an apocalyptic number.

8944000560 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 8944000560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18385421472).

8944000560 is an abundant number, since it is smaller than the sum of its proper divisors (27826842384).

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

8944000560 is a wasteful number, since it uses less digits than its factorization.

8944000560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8944000560 is about 94572.7263009796. The cubic root of 8944000560 is about 2075.7606393147.

The spelling of 8944000560 in words is "eight billion, nine hundred forty-four million, five hundred sixty", and thus it is an aban number.