8379344268 has 384 divisors, whose sum is σ = 25593200640. Its totient is φ = 2353950720.

The previous prime is 8379344263. The next prime is 8379344269. The reversal of 8379344268 is 8624439738.

8379344268 is a `hidden beast` number, since 8 + 37 + 9 + 344 + 268 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8379344263) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48435430 + ... + 48435602.

It is an arithmetic number, because the mean of its divisors is an integer number (66648960).

Almost surely, 2^8379344268 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 8379344268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12796600320).

8379344268 is an abundant number, since it is smaller than the sum of its proper divisors (17213856372).

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

8379344268 is a wasteful number, since it uses less digits than its factorization.

8379344268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 286 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 8379344268 is about 91538.7582830355. The cubic root of 8379344268 is about 2031.1251229290.

The spelling of 8379344268 in words is "eight billion, three hundred seventy-nine million, three hundred forty-four thousand, two hundred sixty-eight".