76947666674967 has 48 divisors (see below), whose sum is σ = 124697811577248. Its totient is φ = 45312641360640.

The previous prime is 76947666674951. The next prime is 76947666674987.

76947666674967 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 76947666674967 - 2⁴ = 76947666674951 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76947666674987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11644308 + ... + 17014265.

It is an arithmetic number, because the mean of its divisors is an integer number (2597871074526).

Almost surely, 2^{76947666674967} is an apocalyptic number.

76947666674967 is a deficient number, since it is larger than the sum of its proper divisors (47750144902281).

76947666674967 is a wasteful number, since it uses less digits than its factorization.

76947666674967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28659360 (or 28659357 counting only the distinct ones).

The product of its digits is 145179288576, while the sum is 90.

The spelling of 76947666674967 in words is "seventy-six trillion, nine hundred forty-seven billion, six hundred sixty-six million, six hundred seventy-four thousand, nine hundred sixty-seven".