729965463827921 has 2 divisors, whose sum is σ = 729965463827922. Its totient is φ = 729965463827920.

The previous prime is 729965463827857. The next prime is 729965463828031. The reversal of 729965463827921 is 129728364569927.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 693652317798400 + 36313146029521 = 26337280^2 + 6026039^2 .

It is an emirp because it is prime and its reverse (129728364569927) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 729965463827921 - 2⁶ = 729965463827857 is a prime.

It is not a weakly prime, because it can be changed into another prime (729965463827021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364982731913960 + 364982731913961.

It is an arithmetic number, because the mean of its divisors is an integer number (364982731913961).

Almost surely, 2^{729965463827921} is an apocalyptic number.

It is an amenable number.

729965463827921 is a deficient number, since it is larger than the sum of its proper divisors (1).

729965463827921 is an equidigital number, since it uses as much as digits as its factorization.

729965463827921 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4938071040, while the sum is 80.

The spelling of 729965463827921 in words is "seven hundred twenty-nine trillion, nine hundred sixty-five billion, four hundred sixty-three million, eight hundred twenty-seven thousand, nine hundred twenty-one".