8079052879968 has 384 divisors, whose sum is σ = 27118849766400. Its totient is φ = 2050152726528.

The previous prime is 8079052879967. The next prime is 8079052879979. The reversal of 8079052879968 is 8699782509708.

It is a junction number, because it is equal to n+sod(n) for n = 8079052879893 and 8079052879902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8079052879967) 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 63 ways as a sum of consecutive naturals, for example, 55710978 + ... + 55855806.

It is an arithmetic number, because the mean of its divisors is an integer number (70622004600).

Almost surely, 2^{8079052879968} 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 8079052879968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13559424883200).

8079052879968 is an abundant number, since it is smaller than the sum of its proper divisors (19039796886432).

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

8079052879968 is a wasteful number, since it uses less digits than its factorization.

8079052879968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145142 (or 145134 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 78.

The spelling of 8079052879968 in words is "eight trillion, seventy-nine billion, fifty-two million, eight hundred seventy-nine thousand, nine hundred sixty-eight".