9680262361344 has 243 divisors, whose sum is σ = 28470412884277. Its totient is φ = 3163283355648.

The previous prime is 9680262361309. The next prime is 9680262361369. The reversal of 9680262361344 is 4431632620869.

The square root of 9680262361344 is 3111312.

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

9680262361344 is a `hidden beast` number, since 9 + 6 + 8 + 0 + 2 + 623 + 6 + 1 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6978473222400 + 2701789138944 = 2641680^2 + 1643712^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 7915177117 + ... + 7915178339.

Almost surely, 2^{9680262361344} is an apocalyptic number.

9680262361344 is the 3111312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9680262361344

9680262361344 is an abundant number, since it is smaller than the sum of its proper divisors (18790150522933).

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

9680262361344 is an frugal number, since it uses more digits than its factorization.

9680262361344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 9680262361344 in words is "nine trillion, six hundred eighty billion, two hundred sixty-two million, three hundred sixty-one thousand, three hundred forty-four".