667662303266766 has 48 divisors (see below), whose sum is σ = 1485702897800784. Its totient is φ = 216538557161472.

The previous prime is 667662303266689. The next prime is 667662303266809.

667662303266766 is a `hidden beast` number, since 6 + 6 + 7 + 6 + 6 + 230 + 326 + 6 + 7 + 66 = 666.

667662303266766 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 667662303266694 and 667662303266703.

It is a congruent number.

It is an unprimeable number.

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 in 23 ways as a sum of consecutive naturals, for example, 306832281 + ... + 309000603.

It is an arithmetic number, because the mean of its divisors is an integer number (30952143704183).

Almost surely, 2^{667662303266766} is an apocalyptic number.

667662303266766 is an abundant number, since it is smaller than the sum of its proper divisors (818040594534018).

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

667662303266766 is a wasteful number, since it uses less digits than its factorization.

667662303266766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630705 (or 2630702 counting only the distinct ones).

The product of its (nonzero) digits is 2962842624, while the sum is 72.

The spelling of 667662303266766 in words is "six hundred sixty-seven trillion, six hundred sixty-two billion, three hundred three million, two hundred sixty-six thousand, seven hundred sixty-six".