8933218560 has 432 divisors, whose sum is σ = 36090302976. Its totient is φ = 1997586432.

The previous prime is 8933218549. The next prime is 8933218573. The reversal of 8933218560 is 658123398.

It is a happy number.

8933218560 is a `hidden beast` number, since 89 + 3 + 3 + 2 + 1 + 8 + 560 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3788902 + ... + 3791258.

It is an arithmetic number, because the mean of its divisors is an integer number (83542368).

Almost surely, 2^8933218560 is an apocalyptic number.

8933218560 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 8933218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18045151488).

8933218560 is an abundant number, since it is smaller than the sum of its proper divisors (27157084416).

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

8933218560 is a wasteful number, since it uses less digits than its factorization.

8933218560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 8933218560 is about 94515.7053615959. The cubic root of 8933218560 is about 2074.9261935329.

It can be divided in two parts, 893 and 3218560, that added together give a triangular number (3219453 = T₂₅₃₇).

The spelling of 8933218560 in words is "eight billion, nine hundred thirty-three million, two hundred eighteen thousand, five hundred sixty".