766640716373267 has 2 divisors, whose sum is σ = 766640716373268. Its totient is φ = 766640716373266.

The previous prime is 766640716373117. The next prime is 766640716373269. The reversal of 766640716373267 is 762373617046667.

766640716373267 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 766640716373267 - 2⁸ = 766640716373011 is a prime.

It is a super-5 number, since 5×766640716373267⁵ (a number of 76 digits) contains 55555 as substring. Note that it is a super-d number also for d = 3.

Together with 766640716373269, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 766640716373267.

It is not a weakly prime, because it can be changed into another prime (766640716373269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 383320358186633 + 383320358186634.

It is an arithmetic number, because the mean of its divisors is an integer number (383320358186634).

Almost surely, 2^{766640716373267} is an apocalyptic number.

766640716373267 is a deficient number, since it is larger than the sum of its proper divisors (1).

766640716373267 is an equidigital number, since it uses as much as digits as its factorization.

766640716373267 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344252672, while the sum is 71.

The spelling of 766640716373267 in words is "seven hundred sixty-six trillion, six hundred forty billion, seven hundred sixteen million, three hundred seventy-three thousand, two hundred sixty-seven".