7668474748667 has 2 divisors, whose sum is σ = 7668474748668. Its totient is φ = 7668474748666.

The previous prime is 7668474748591. The next prime is 7668474748723.

7668474748667 is nontrivially palindromic in base 10.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 7668474748667 - 2¹⁶ = 7668474683131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 7668474748591 and 7668474748600.

It is not a weakly prime, because it can be changed into another prime (7668474748367) 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 as a sum of consecutive naturals, namely, 3834237374333 + 3834237374334.

It is an arithmetic number, because the mean of its divisors is an integer number (3834237374334).

Almost surely, 2^{7668474748667} is an apocalyptic number.

7668474748667 is a deficient number, since it is larger than the sum of its proper divisors (1).

7668474748667 is an equidigital number, since it uses as much as digits as its factorization.

7668474748667 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12745506816, while the sum is 80.

The spelling of 7668474748667 in words is "seven trillion, six hundred sixty-eight billion, four hundred seventy-four million, seven hundred forty-eight thousand, six hundred sixty-seven".