8279358043392 has 720 divisors, whose sum is σ = 26433865458000. Its totient is φ = 2577342136320.

The previous prime is 8279358043337. The next prime is 8279358043399. The reversal of 8279358043392 is 2933408539728.

8279358043392 is a `hidden beast` number, since 8 + 2 + 7 + 9 + 3 + 580 + 43 + 3 + 9 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 443747828736 + 7835610214656 = 666144^2 + 2799216^2 .

It is a super-2 number, since 2×8279358043392² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8279358043399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18439549984 + ... + 18439550432.

It is an arithmetic number, because the mean of its divisors is an integer number (36713702025).

Almost surely, 2^{8279358043392} 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 8279358043392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13216932729000).

8279358043392 is an abundant number, since it is smaller than the sum of its proper divisors (18154507414608).

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

8279358043392 is an equidigital number, since it uses as much as digits as its factorization.

8279358043392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 8279358043392 in words is "eight trillion, two hundred seventy-nine billion, three hundred fifty-eight million, forty-three thousand, three hundred ninety-two".