666468317016000 has 2016 divisors, whose sum is σ = 2625145402276800. Its totient is φ = 161178638745600.

The previous prime is 666468317015857. The next prime is 666468317016011. The reversal of 666468317016000 is 610713864666.

It is a happy number.

666468317016000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×666468317016000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 456798023271 + ... + 456798024729.

Almost surely, 2^{666468317016000} is an apocalyptic number.

666468317016000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 666468317016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312572701138400).

666468317016000 is an abundant number, since it is smaller than the sum of its proper divisors (1958677085260800).

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

666468317016000 is a wasteful number, since it uses less digits than its factorization.

666468317016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 666468317016000 in words is "six hundred sixty-six trillion, four hundred sixty-eight billion, three hundred seventeen million, sixteen thousand".