8957952000 has 512 divisors, whose sum is σ = 33532948800. Its totient is φ = 2388787200.

The previous prime is 8957951993. The next prime is 8957952011. The reversal of 8957952000 is 2597598.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (6!)³ ⋅ 4!.

It is a tau number, because it is divible by the number of its divisors (512).

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=1440.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1791590398 + ... + 1791590402.

Almost surely, 2^8957952000 is an apocalyptic number.

8957952000 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 8957952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16766474400).

8957952000 is an abundant number, since it is smaller than the sum of its proper divisors (24574996800).

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

8957952000 is an frugal number, since it uses more digits than its factorization.

8957952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 8957952000 is about 94646.4579368927. The cubic root of 8957952000 is about 2076.8393812427.

The spelling of 8957952000 in words is "eight billion, nine hundred fifty-seven million, nine hundred fifty-two thousand".