12763436721 has 16 divisors (see below), whose sum is σ = 19577852928. Its totient is φ = 7245090000.

The previous prime is 12763436659. The next prime is 12763436729.

12763436721 is nontrivially palindromic in base 10.

12763436721 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12763436721 - 2⁶ = 12763436657 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12763436729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2009355 + ... + 2015696.

It is an arithmetic number, because the mean of its divisors is an integer number (1223615808).

Almost surely, 2^12763436721 is an apocalyptic number.

It is an amenable number.

12763436721 is a deficient number, since it is larger than the sum of its proper divisors (6814416207).

12763436721 is a wasteful number, since it uses less digits than its factorization.

12763436721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4025212.

The product of its digits is 254016, while the sum is 42.

The spelling of 12763436721 in words is "twelve billion, seven hundred sixty-three million, four hundred thirty-six thousand, seven hundred twenty-one".