8957329920 has 1440 divisors, whose sum is σ = 42790011264. Its totient is φ = 1751777280.

The previous prime is 8957329919. The next prime is 8957330033. The reversal of 8957329920 is 299237598.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 526901752 + ... + 526901768.

Almost surely, 2^8957329920 is an apocalyptic number.

8957329920 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 8957329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21395005632).

8957329920 is an abundant number, since it is smaller than the sum of its proper divisors (33832681344).

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

8957329920 is a wasteful number, since it uses less digits than its factorization.

8957329920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 8957329920 is about 94643.1715444913. The cubic root of 8957329920 is about 2076.7913051441.

The spelling of 8957329920 in words is "eight billion, nine hundred fifty-seven million, three hundred twenty-nine thousand, nine hundred twenty".