766125444521667 has 8 divisors (see below), whose sum is σ = 1024345998247680. Its totient is φ = 509327593571720.

The previous prime is 766125444521653. The next prime is 766125444521687.

766125444521667 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 not a de Polignac number, because 766125444521667 - 2⁷ = 766125444521539 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 766125444521598 and 766125444521607.

It is not an unprimeable number, because it can be changed into a prime (766125444521687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 355675692759 + ... + 355675694912.

It is an arithmetic number, because the mean of its divisors is an integer number (128043249780960).

Almost surely, 2^{766125444521667} is an apocalyptic number.

766125444521667 is a deficient number, since it is larger than the sum of its proper divisors (258220553726013).

766125444521667 is a wasteful number, since it uses less digits than its factorization.

766125444521667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711351388033.

The product of its digits is 406425600, while the sum is 66.

The spelling of 766125444521667 in words is "seven hundred sixty-six trillion, one hundred twenty-five billion, four hundred forty-four million, five hundred twenty-one thousand, six hundred sixty-seven".