8192808960 has 384 divisors, whose sum is σ = 30946406400. Its totient is φ = 1810759680.

The previous prime is 8192808947. The next prime is 8192808983. The reversal of 8192808960 is 698082918.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6665626 + ... + 6666854.

It is an arithmetic number, because the mean of its divisors is an integer number (80589600).

Almost surely, 2^8192808960 is an apocalyptic number.

8192808960 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 8192808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15473203200).

8192808960 is an abundant number, since it is smaller than the sum of its proper divisors (22753597440).

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

8192808960 is a wasteful number, since it uses less digits than its factorization.

8192808960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 51.

The square root of 8192808960 is about 90514.1367964143. The cubic root of 8192808960 is about 2015.9400334897.

The spelling of 8192808960 in words is "eight billion, one hundred ninety-two million, eight hundred eight thousand, nine hundred sixty".