9679167210496 has 891 divisors, whose sum is σ = 25834892778549. Its totient is φ = 3612700901376.

The previous prime is 9679167210421. The next prime is 9679167210497. The reversal of 9679167210496 is 6940127619769.

The square root of 9679167210496 is 3111136.

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., 7535683814400 + 2143483396096 = 2745120^2 + 1464064^2 .

It is not an unprimeable number, because it can be changed into a prime (9679167210497) 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 80 ways as a sum of consecutive naturals, for example, 225096911851 + ... + 225096911893.

Almost surely, 2^{9679167210496} is an apocalyptic number.

9679167210496 is the 3111136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9679167210496

9679167210496 is an abundant number, since it is smaller than the sum of its proper divisors (16155725568053).

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

9679167210496 is a wasteful number, since it uses less digits than its factorization.

9679167210496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 67.

The spelling of 9679167210496 in words is "nine trillion, six hundred seventy-nine billion, one hundred sixty-seven million, two hundred ten thousand, four hundred ninety-six".