66688071613152 has 288 divisors, whose sum is σ = 196672129315200. Its totient is φ = 19765106887680.

The previous prime is 66688071613129. The next prime is 66688071613169. The reversal of 66688071613152 is 25131617088666.

It is a happy number.

66688071613152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134765799 + ... + 135259737.

It is an arithmetic number, because the mean of its divisors is an integer number (682889337900).

Almost surely, 2^{66688071613152} 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 66688071613152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98336064657600).

66688071613152 is an abundant number, since it is smaller than the sum of its proper divisors (129984057702048).

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

66688071613152 is a wasteful number, since it uses less digits than its factorization.

66688071613152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494230 (or 494211 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 66688071613152 in words is "sixty-six trillion, six hundred eighty-eight billion, seventy-one million, six hundred thirteen thousand, one hundred fifty-two".