766272272667 has 8 divisors (see below), whose sum is σ = 1114577851200. Its totient is φ = 464407437960.

The previous prime is 766272272627. The next prime is 766272272681.

It is a happy number.

766272272667 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 766272272667 - 2¹¹ = 766272270619 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 766272272667.

It is not an unprimeable number, because it can be changed into a prime (766272272627) 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, 11610185917 + ... + 11610185982.

It is an arithmetic number, because the mean of its divisors is an integer number (139322231400).

Almost surely, 2^766272272667 is an apocalyptic number.

766272272667 is a deficient number, since it is larger than the sum of its proper divisors (348305578533).

766272272667 is a wasteful number, since it uses less digits than its factorization.

766272272667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23220371913.

The product of its digits is 49787136, while the sum is 60.

The spelling of 766272272667 in words is "seven hundred sixty-six billion, two hundred seventy-two million, two hundred seventy-two thousand, six hundred sixty-seven".