8349096960 has 264 divisors, whose sum is σ = 29065598640. Its totient is φ = 2215968768.

The previous prime is 8349096947. The next prime is 8349096971. The reversal of 8349096960 is 696909438.

It is a happy number.

8349096960 is a `hidden beast` number, since 8 + 3 + 490 + 96 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8349096897 and 8349096906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18846499 + ... + 18846941.

Almost surely, 2^8349096960 is an apocalyptic number.

8349096960 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 8349096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14532799320).

8349096960 is an abundant number, since it is smaller than the sum of its proper divisors (20716501680).

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

8349096960 is a wasteful number, since it uses less digits than its factorization.

8349096960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 8349096960 is about 91373.3930638455. The cubic root of 8349096960 is about 2028.6782274565.

The spelling of 8349096960 in words is "eight billion, three hundred forty-nine million, ninety-six thousand, nine hundred sixty".