8040928896 has 768 divisors, whose sum is σ = 32791449600. Its totient is φ = 1821450240.

The previous prime is 8040928879. The next prime is 8040928937. The reversal of 8040928896 is 6988290408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21909705 + ... + 21910071.

It is an arithmetic number, because the mean of its divisors is an integer number (42697200).

Almost surely, 2^8040928896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8040928896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16395724800).

8040928896 is an abundant number, since it is smaller than the sum of its proper divisors (24750520704).

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

8040928896 is a wasteful number, since it uses less digits than its factorization.

8040928896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 8040928896 is about 89671.2266895017. The cubic root of 8040928896 is about 2003.4049412313.

The spelling of 8040928896 in words is "eight billion, forty million, nine hundred twenty-eight thousand, eight hundred ninety-six".