7666226667 has 64 divisors (see below), whose sum is σ = 12638238720. Its totient is φ = 4553625600.

The previous prime is 7666226657. The next prime is 7666226693.

7666226667 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7666226667 - 2¹⁰ = 7666225643 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7666226657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6648363 + ... + 6649515.

It is an arithmetic number, because the mean of its divisors is an integer number (197472480).

Almost surely, 2^7666226667 is an apocalyptic number.

7666226667 is a deficient number, since it is larger than the sum of its proper divisors (4972012053).

7666226667 is a wasteful number, since it uses less digits than its factorization.

7666226667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1595 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The square root of 7666226667 is about 87556.9909658846. The cubic root of 7666226667 is about 1971.7895106282.

The spelling of 7666226667 in words is "seven billion, six hundred sixty-six million, two hundred twenty-six thousand, six hundred sixty-seven".