7666674766667 has 32 divisors (see below), whose sum is σ = 8920992291840. Its totient is φ = 6452396899200.

The previous prime is 7666674766637. The next prime is 7666674766679.

7666674766667 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7666674766667 - 2¹⁸ = 7666674504523 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7666674766591 and 7666674766600.

It is not an unprimeable number, because it can be changed into a prime (7666674766637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1913318378 + ... + 1913322384.

It is an arithmetic number, because the mean of its divisors is an integer number (278781009120).

Almost surely, 2^{7666674766667} is an apocalyptic number.

7666674766667 is a deficient number, since it is larger than the sum of its proper divisors (1254317525173).

7666674766667 is a wasteful number, since it uses less digits than its factorization.

7666674766667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8411.

The product of its digits is 16131032064, while the sum is 80.

The spelling of 7666674766667 in words is "seven trillion, six hundred sixty-six billion, six hundred seventy-four million, seven hundred sixty-six thousand, six hundred sixty-seven".