8379457968 has 160 divisors (see below), whose sum is σ = 25141248000. Its totient is φ = 2355575040.

The previous prime is 8379457967. The next prime is 8379457997. The reversal of 8379457968 is 8697549738.

It is a junction number, because it is equal to n+sod(n) for n = 8379457899 and 8379457908.

It is not an unprimeable number, because it can be changed into a prime (8379457963) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5589283 + ... + 5590781.

It is an arithmetic number, because the mean of its divisors is an integer number (157132800).

Almost surely, 2^8379457968 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 8379457968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12570624000).

8379457968 is an abundant number, since it is smaller than the sum of its proper divisors (16761790032).

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

8379457968 is a wasteful number, since it uses less digits than its factorization.

8379457968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1769 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 66.

The square root of 8379457968 is about 91539.3793293356. The cubic root of 8379457968 is about 2031.1343097212.

The spelling of 8379457968 in words is "eight billion, three hundred seventy-nine million, four hundred fifty-seven thousand, nine hundred sixty-eight".