667546645766 has 192 divisors, whose sum is σ = 1417943983680. Its totient is φ = 231418736640.

The previous prime is 667546645763. The next prime is 667546645789.

667546645766 is nontrivially palindromic in base 10.

667546645766 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (68) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 667546645696 and 667546645705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667546645763) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 380801546 + ... + 380803298.

It is an arithmetic number, because the mean of its divisors is an integer number (7385124915).

Almost surely, 2^667546645766 is an apocalyptic number.

667546645766 is an abundant number, since it is smaller than the sum of its proper divisors (750397337914).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

667546645766 is a wasteful number, since it uses less digits than its factorization.

667546645766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2752 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 68.

The spelling of 667546645766 in words is "six hundred sixty-seven billion, five hundred forty-six million, six hundred forty-five thousand, seven hundred sixty-six".