666954687168 has 1344 divisors, whose sum is σ = 2623577948160. Its totient is φ = 158070528000.

The previous prime is 666954687151. The next prime is 666954687193. The reversal of 666954687168 is 861786459666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 666954687096 and 666954687105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3160922583 + ... + 3160922793.

Almost surely, 2^666954687168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 666954687168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311788974080).

666954687168 is an abundant number, since it is smaller than the sum of its proper divisors (1956623260992).

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

666954687168 is a wasteful number, since it uses less digits than its factorization.

666954687168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 284 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 666954687168 in words is "six hundred sixty-six billion, nine hundred fifty-four million, six hundred eighty-seven thousand, one hundred sixty-eight".