667755557766 has 48 divisors (see below), whose sum is σ = 1593958408848. Its totient is φ = 200346696000.

The previous prime is 667755557719. The next prime is 667755557771.

It is a happy number.

667755557766 is a `hidden beast` number, since 6 + 6 + 7 + 7 + 5 + 5 + 557 + 7 + 66 = 666.

667755557766 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×667755557766³ (a number of 36 digits) contains 333 as substring.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 667755557694 and 667755557703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16675561 + ... + 16715556.

It is an arithmetic number, because the mean of its divisors is an integer number (33207466851).

Almost surely, 2^667755557766 is an apocalyptic number.

667755557766 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

667755557766 is an abundant number, since it is smaller than the sum of its proper divisors (926202851082).

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

667755557766 is a wasteful number, since it uses less digits than its factorization.

667755557766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33391237 (or 33391234 counting only the distinct ones).

The product of its digits is 1944810000, while the sum is 72.

The spelling of 667755557766 in words is "six hundred sixty-seven billion, seven hundred fifty-five million, five hundred fifty-seven thousand, seven hundred sixty-six".