76972644627967 has 8 divisors (see below), whose sum is σ = 84059392811472. Its totient is φ = 69900768950400.

The previous prime is 76972644627889. The next prime is 76972644627971.

76972644627967 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-76972644627967 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76972644327967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3718115658 + ... + 3718136359.

It is an arithmetic number, because the mean of its divisors is an integer number (10507424101434).

Almost surely, 2^{76972644627967} is an apocalyptic number.

76972644627967 is a deficient number, since it is larger than the sum of its proper divisors (7086748183505).

76972644627967 is a wasteful number, since it uses less digits than its factorization.

76972644627967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7436252969.

The product of its digits is 16131032064, while the sum is 82.

The spelling of 76972644627967 in words is "seventy-six trillion, nine hundred seventy-two billion, six hundred forty-four million, six hundred twenty-seven thousand, nine hundred sixty-seven".