8668731120 has 480 divisors, whose sum is σ = 33452787456. Its totient is φ = 1845043200.

The previous prime is 8668731107. The next prime is 8668731143. The reversal of 8668731120 is 211378668.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 26189355 + ... + 26189685.

Almost surely, 2^8668731120 is an apocalyptic number.

8668731120 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 8668731120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16726393728).

8668731120 is an abundant number, since it is smaller than the sum of its proper divisors (24784056336).

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

8668731120 is a wasteful number, since it uses less digits than its factorization.

8668731120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 8668731120 is about 93106.0208579445. The cubic root of 8668731120 is about 2054.2431344705.

The spelling of 8668731120 in words is "eight billion, six hundred sixty-eight million, seven hundred thirty-one thousand, one hundred twenty".