761665566167 has 12 divisors (see below), whose sum is σ = 842446176984. Its totient is φ = 682937939520.

The previous prime is 761665566157. The next prime is 761665566251.

761665566167 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-761665566167 is a prime.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761665566157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6438128 + ... + 6555365.

It is an arithmetic number, because the mean of its divisors is an integer number (70203848082).

Almost surely, 2^761665566167 is an apocalyptic number.

761665566167 is a deficient number, since it is larger than the sum of its proper divisors (80780610817).

761665566167 is a wasteful number, since it uses less digits than its factorization.

761665566167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12993650 (or 12993577 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 62.

The spelling of 761665566167 in words is "seven hundred sixty-one billion, six hundred sixty-five million, five hundred sixty-six thousand, one hundred sixty-seven".