9672840482769 has 24 divisors (see below), whose sum is σ = 14117495606760. Its totient is φ = 6381368275968.

The previous prime is 9672840482743. The next prime is 9672840482771.

9672840482769 is a `hidden beast` number, since 9 + 6 + 7 + 2 + 84 + 0 + 482 + 7 + 69 = 666.

9672840482769 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 3770929004544 + 5901911478225 = 1941888^2 + 2429385^2 .

It is not a de Polignac number, because 9672840482769 - 2⁵ = 9672840482737 is a prime.

It is a super-2 number, since 2×9672840482769² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9672840482697 and 9672840482706.

It is not an unprimeable number, because it can be changed into a prime (9672840482779) 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 23 ways as a sum of consecutive naturals, for example, 7268739 + ... + 8495895.

It is an arithmetic number, because the mean of its divisors is an integer number (588228983615).

Almost surely, 2^{9672840482769} is an apocalyptic number.

It is an amenable number.

9672840482769 is a deficient number, since it is larger than the sum of its proper divisors (4444655123991).

9672840482769 is a wasteful number, since it uses less digits than its factorization.

9672840482769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236289 (or 1236286 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 9672840482769 in words is "nine trillion, six hundred seventy-two billion, eight hundred forty million, four hundred eighty-two thousand, seven hundred sixty-nine".