66669447168000 has 3840 divisors, whose sum is σ = 282653908992000. Its totient is φ = 15415640064000.

The previous prime is 66669447167989. The next prime is 66669447168091. The reversal of 66669447168000 is 86174496666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 749094911956 + ... + 749094912044.

It is an arithmetic number, because the mean of its divisors is an integer number (73607788800).

Almost surely, 2^{66669447168000} is an apocalyptic number.

66669447168000 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 66669447168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141326954496000).

66669447168000 is an abundant number, since it is smaller than the sum of its proper divisors (215984461824000).

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

66669447168000 is a wasteful number, since it uses less digits than its factorization.

66669447168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 66669447168000 in words is "sixty-six trillion, six hundred sixty-nine billion, four hundred forty-seven million, one hundred sixty-eight thousand".