76972644627971 has 2 divisors, whose sum is σ = 76972644627972. Its totient is φ = 76972644627970.

The previous prime is 76972644627889. The next prime is 76972644627973. The reversal of 76972644627971 is 17972644627967.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-76972644627971 is a prime.

Together with 76972644627973, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 76972644627892 and 76972644627901.

It is not a weakly prime, because it can be changed into another prime (76972644627973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38486322313985 + 38486322313986.

It is an arithmetic number, because the mean of its divisors is an integer number (38486322313986).

Almost surely, 2^{76972644627971} is an apocalyptic number.

76972644627971 is a deficient number, since it is larger than the sum of its proper divisors (1).

76972644627971 is an equidigital number, since it uses as much as digits as its factorization.

76972644627971 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2688505344, while the sum is 77.

The spelling of 76972644627971 in words is "seventy-six trillion, nine hundred seventy-two billion, six hundred forty-four million, six hundred twenty-seven thousand, nine hundred seventy-one".