729965463827977 has 16 divisors (see below), whose sum is σ = 797197410438912. Its totient is φ = 664316689458240.

The previous prime is 729965463827921. The next prime is 729965463828031. The reversal of 729965463827977 is 779728364569927.

729965463827977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-729965463827977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 729965463827891 and 729965463827900.

It is not an unprimeable number, because it can be changed into a prime (729965463327977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81312868 + ... + 89842714.

It is an arithmetic number, because the mean of its divisors is an integer number (49824838152432).

Almost surely, 2^{729965463827977} is an apocalyptic number.

It is an amenable number.

729965463827977 is a deficient number, since it is larger than the sum of its proper divisors (67231946610935).

729965463827977 is a wasteful number, since it uses less digits than its factorization.

729965463827977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8622648.

The product of its digits is 120982740480, while the sum is 91.

The spelling of 729965463827977 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 seventy-seven".