8952975360 has 624 divisors, whose sum is σ = 36923193216. Its totient is φ = 2038431744.

The previous prime is 8952975337. The next prime is 8952975379. The reversal of 8952975360 is 635792598.

8952975360 is a `hidden beast` number, since 8 + 9 + 529 + 7 + 53 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8952975297 and 8952975306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34836352 + ... + 34836608.

It is an arithmetic number, because the mean of its divisors is an integer number (59171784).

Almost surely, 2^8952975360 is an apocalyptic number.

8952975360 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 8952975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18461596608).

8952975360 is an abundant number, since it is smaller than the sum of its proper divisors (27970217856).

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

8952975360 is an equidigital number, since it uses as much as digits as its factorization.

8952975360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The square root of 8952975360 is about 94620.1636016341. The cubic root of 8952975360 is about 2076.4547101131.

The spelling of 8952975360 in words is "eight billion, nine hundred fifty-two million, nine hundred seventy-five thousand, three hundred sixty".