66803127168 has 128 divisors (see below), whose sum is σ = 179120747520. Its totient is φ = 22058459136.

The previous prime is 66803127113. The next prime is 66803127191. The reversal of 66803127168 is 86172130866.

66803127168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21091921 + ... + 21095087.

It is an arithmetic number, because the mean of its divisors is an integer number (1399380840).

Almost surely, 2^66803127168 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 66803127168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89560373760).

66803127168 is an abundant number, since it is smaller than the sum of its proper divisors (112317620352).

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

66803127168 is a wasteful number, since it uses less digits than its factorization.

66803127168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3684 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 66803127168 in words is "sixty-six billion, eight hundred three million, one hundred twenty-seven thousand, one hundred sixty-eight".