766131131667 has 16 divisors (see below), whose sum is σ = 1116642176640. Its totient is φ = 463376222400.

The previous prime is 766131131653. The next prime is 766131131693.

766131131667 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 766131131667 - 2⁴ = 766131131651 is a prime.

It is not an unprimeable number, because it can be changed into a prime (766131139667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23625442 + ... + 23657847.

It is an arithmetic number, because the mean of its divisors is an integer number (69790136040).

Almost surely, 2^766131131667 is an apocalyptic number.

766131131667 is a deficient number, since it is larger than the sum of its proper divisors (350511044973).

766131131667 is a wasteful number, since it uses less digits than its factorization.

766131131667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47283794.

The product of its digits is 571536, while the sum is 48.

It can be divided in two parts, 766131 and 131667, that added together give a palindrome (897798).

The spelling of 766131131667 in words is "seven hundred sixty-six billion, one hundred thirty-one million, one hundred thirty-one thousand, six hundred sixty-seven".