8279568875776 has 81 divisors (see below), whose sum is σ = 18166927940413. Its totient is φ = 3763210204160.

The previous prime is 8279568875737. The next prime is 8279568875807. The reversal of 8279568875776 is 6775788659728.

The square root of 8279568875776 is 2877424.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1328542085376 + 6951026790400 = 1152624^2 + 2636480^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8279568875693 and 8279568875702.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 506418450 + ... + 506434798.

Almost surely, 2^{8279568875776} is an apocalyptic number.

8279568875776 is the 2877424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8279568875776

8279568875776 is an abundant number, since it is smaller than the sum of its proper divisors (9887359064637).

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

8279568875776 is an frugal number, since it uses more digits than its factorization.

8279568875776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32736 (or 16362 counting only the distinct ones).

The product of its digits is 19914854400, while the sum is 85.

The spelling of 8279568875776 in words is "eight trillion, two hundred seventy-nine billion, five hundred sixty-eight million, eight hundred seventy-five thousand, seven hundred seventy-six".