7666144416667 has 24 divisors (see below), whose sum is σ = 8510536223280. Its totient is φ = 6899666136000.

The previous prime is 7666144416647. The next prime is 7666144416727.

7666144416667 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7666144416667 - 2²³ = 7666136028059 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7666144416599 and 7666144416608.

It is not an unprimeable number, because it can be changed into a prime (7666144416647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276412933 + ... + 276440665.

It is an arithmetic number, because the mean of its divisors is an integer number (354605675970).

Almost surely, 2^{7666144416667} is an apocalyptic number.

7666144416667 is a deficient number, since it is larger than the sum of its proper divisors (844391806613).

7666144416667 is a wasteful number, since it uses less digits than its factorization.

7666144416667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50475 (or 50464 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 64.

The spelling of 7666144416667 in words is "seven trillion, six hundred sixty-six billion, one hundred forty-four million, four hundred sixteen thousand, six hundred sixty-seven".