8821632960 has 672 divisors, whose sum is σ = 36517478400. Its totient is φ = 1912135680.

The previous prime is 8821632917. The next prime is 8821633033. The reversal of 8821632960 is 692361288.

8821632960 is a `hidden beast` number, since 8 + 8 + 2 + 1 + 632 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46186465 + ... + 46186655.

Almost surely, 2^8821632960 is an apocalyptic number.

8821632960 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 8821632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18258739200).

8821632960 is an abundant number, since it is smaller than the sum of its proper divisors (27695845440).

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

8821632960 is a wasteful number, since it uses less digits than its factorization.

8821632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 8821632960 is about 93923.5484849247. The cubic root of 8821632960 is about 2066.2506097365.

The spelling of 8821632960 in words is "eight billion, eight hundred twenty-one million, six hundred thirty-two thousand, nine hundred sixty".