10673673677729 has 2 divisors, whose sum is σ = 10673673677730. Its totient is φ = 10673673677728.

The previous prime is 10673673677683. The next prime is 10673673677741. The reversal of 10673673677729 is 92777637637601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8231579879329 + 2442093798400 = 2869073^2 + 1562720^2 .

It is a cyclic number.

It is not a de Polignac number, because 10673673677729 - 2²⁴ = 10673656900513 is a prime.

It is a super-2 number, since 2×10673673677729² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10673673577729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5336836838864 + 5336836838865.

It is an arithmetic number, because the mean of its divisors is an integer number (5336836838865).

Almost surely, 2^{10673673677729} is an apocalyptic number.

It is an amenable number.

10673673677729 is a deficient number, since it is larger than the sum of its proper divisors (1).

10673673677729 is an equidigital number, since it uses as much as digits as its factorization.

10673673677729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 588110544, while the sum is 71.

The spelling of 10673673677729 in words is "ten trillion, six hundred seventy-three billion, six hundred seventy-three million, six hundred seventy-seven thousand, seven hundred twenty-nine".