6906973666001 has 2 divisors, whose sum is σ = 6906973666002. Its totient is φ = 6906973666000.

The previous prime is 6906973665983. The next prime is 6906973666069. The reversal of 6906973666001 is 1006663796096.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4394574312976 + 2512399353025 = 2096324^2 + 1585055^2 .

It is a cyclic number.

It is not a de Polignac number, because 6906973666001 - 2³⁰ = 6905899924177 is a prime.

It is not a weakly prime, because it can be changed into another prime (6906973663001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3453486833000 + 3453486833001.

It is an arithmetic number, because the mean of its divisors is an integer number (3453486833001).

Almost surely, 2^{6906973666001} is an apocalyptic number.

It is an amenable number.

6906973666001 is a deficient number, since it is larger than the sum of its proper divisors (1).

6906973666001 is an equidigital number, since it uses as much as digits as its factorization.

6906973666001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13226976, while the sum is 59.

The spelling of 6906973666001 in words is "six trillion, nine hundred six billion, nine hundred seventy-three million, six hundred sixty-six thousand, one".