8036832960 has 1120 divisors, whose sum is σ = 34573537152. Its totient is φ = 1751777280.

The previous prime is 8036832941. The next prime is 8036832989. The reversal of 8036832960 is 692386308.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 131751330 + ... + 131751390.

Almost surely, 2^8036832960 is an apocalyptic number.

8036832960 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 8036832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17286768576).

8036832960 is an abundant number, since it is smaller than the sum of its proper divisors (26536704192).

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

8036832960 is a wasteful number, since it uses less digits than its factorization.

8036832960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 8036832960 is about 89648.3851499847. The cubic root of 8036832960 is about 2003.0647146965.

The spelling of 8036832960 in words is "eight billion, thirty-six million, eight hundred thirty-two thousand, nine hundred sixty".