6960948766321 has 9 divisors (see below), whose sum is σ = 7651322693049. Its totient is φ = 6328108858500.

The previous prime is 6960948766309. The next prime is 6960948766327. The reversal of 6960948766321 is 1236678490696.

The square root of 6960948766321 is 2638361.

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

It is not a de Polignac number, because 6960948766321 - 2⁷ = 6960948766193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6960948766327) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28902046 + ... + 29141896.

Almost surely, 2^{6960948766321} is an apocalyptic number.

6960948766321 is the 2638361-st square number.

6960948766321 is the 1319181-st centered octagonal number.

It is an amenable number.

6960948766321 is a deficient number, since it is larger than the sum of its proper divisors (690373926728).

6960948766321 is an frugal number, since it uses more digits than its factorization.

6960948766321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479724 (or 239862 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 67.

The spelling of 6960948766321 in words is "six trillion, nine hundred sixty billion, nine hundred forty-eight million, seven hundred sixty-six thousand, three hundred twenty-one".