8864745120 has 576 divisors, whose sum is σ = 38947184640. Its totient is φ = 1781913600.

The previous prime is 8864745119. The next prime is 8864745181. The reversal of 8864745120 is 215474688.

8864745120 is a `hidden beast` number, since 8 + 8 + 64 + 74 + 512 + 0 = 666.

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

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, 3435991 + ... + 3438569.

It is an arithmetic number, because the mean of its divisors is an integer number (67616640).

Almost surely, 2^8864745120 is an apocalyptic number.

8864745120 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 8864745120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19473592320).

8864745120 is an abundant number, since it is smaller than the sum of its proper divisors (30082439520).

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

8864745120 is a wasteful number, since it uses less digits than its factorization.

8864745120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2649 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 8864745120 is about 94152.7754237760. The cubic root of 8864745120 is about 2069.6111290796.

The spelling of 8864745120 in words is "eight billion, eight hundred sixty-four million, seven hundred forty-five thousand, one hundred twenty".