8086909446720 has 672 divisors, whose sum is σ = 30391659986688. Its totient is φ = 1961818177536.

The previous prime is 8086909446691. The next prime is 8086909446773. The reversal of 8086909446720 is 276449096808.

8086909446720 is a `hidden beast` number, since 8 + 0 + 8 + 69 + 0 + 94 + 467 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 789192637 + ... + 789202883.

It is an arithmetic number, because the mean of its divisors is an integer number (45225684504).

Almost surely, 2^{8086909446720} is an apocalyptic number.

8086909446720 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 8086909446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15195829993344).

8086909446720 is an abundant number, since it is smaller than the sum of its proper divisors (22304750539968).

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

8086909446720 is a wasteful number, since it uses less digits than its factorization.

8086909446720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10587 (or 10574 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 8086909446720 in words is "eight trillion, eighty-six billion, nine hundred nine million, four hundred forty-six thousand, seven hundred twenty".