8395916496 has 320 divisors, whose sum is σ = 25476464640. Its totient is φ = 2358720000.

The previous prime is 8395916467. The next prime is 8395916509. The reversal of 8395916496 is 6946195938.

Its product of digits (12597120) is a multiple of the sum of its prime divisors (320).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 55602021 + ... + 55602171.

It is an arithmetic number, because the mean of its divisors is an integer number (79613952).

Almost surely, 2^8395916496 is an apocalyptic number.

8395916496 is a gapful number since it is divisible by the number (86) 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 8395916496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12738232320).

8395916496 is an abundant number, since it is smaller than the sum of its proper divisors (17080548144).

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

8395916496 is a wasteful number, since it uses less digits than its factorization.

8395916496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 320 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 60.

The square root of 8395916496 is about 91629.2338503384. The cubic root of 8395916496 is about 2032.4632587625.

The spelling of 8395916496 in words is "eight billion, three hundred ninety-five million, nine hundred sixteen thousand, four hundred ninety-six".