8953704960 has 320 divisors, whose sum is σ = 30143570688. Its totient is φ = 2262892544.

The previous prime is 8953704953. The next prime is 8953704997. The reversal of 8953704960 is 694073598.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30558574 + ... + 30558866.

Almost surely, 2^8953704960 is an apocalyptic number.

8953704960 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 8953704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15071785344).

8953704960 is an abundant number, since it is smaller than the sum of its proper divisors (21189865728).

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

8953704960 is a wasteful number, since it uses less digits than its factorization.

8953704960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The square root of 8953704960 is about 94624.0189381111. The cubic root of 8953704960 is about 2076.5111137161.

The spelling of 8953704960 in words is "eight billion, nine hundred fifty-three million, seven hundred four thousand, nine hundred sixty".