8745132960 has 144 divisors (see below), whose sum is σ = 29894024160. Its totient is φ = 2328030720.

The previous prime is 8745132959. The next prime is 8745132997. The reversal of 8745132960 is 692315478.

8745132960 is a `hidden beast` number, since 8 + 74 + 513 + 2 + 9 + 60 = 666.

8745132960 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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).

8745132960 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 886455 + ... + 896265.

It is an arithmetic number, because the mean of its divisors is an integer number (207597390).

It is a 1-persistent number, because it is pandigital, but 2⋅8745132960 = 17490265920 is not.

Almost surely, 2^8745132960 is an apocalyptic number.

8745132960 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 8745132960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14947012080).

8745132960 is an abundant number, since it is smaller than the sum of its proper divisors (21148891200).

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

8745132960 is a wasteful number, since it uses less digits than its factorization.

8745132960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10451 (or 10440 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 8745132960 is about 93515.4156275852. The cubic root of 8745132960 is about 2060.2605131307.

The spelling of 8745132960 in words is "eight billion, seven hundred forty-five million, one hundred thirty-two thousand, nine hundred sixty".