66328091182080 has 2376 divisors, whose sum is σ = 292530874623624. Its totient is φ = 13847887872000.

The previous prime is 66328091182061. The next prime is 66328091182081. The reversal of 66328091182080 is 8028119082366.

66328091182080 is a `hidden beast` number, since 6 + 63 + 280 + 91 + 18 + 208 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 11875026272256 + 54453064909824 = 3446016^2 + 7379232^2 .

It is not an unprimeable number, because it can be changed into a prime (66328091182081) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 38540435620 + ... + 38540437340.

Almost surely, 2^{66328091182080} is an apocalyptic number.

66328091182080 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 66328091182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146265437311812).

66328091182080 is an abundant number, since it is smaller than the sum of its proper divisors (226202783441544).

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

66328091182080 is a wasteful number, since it uses less digits than its factorization.

66328091182080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 66328091182080 in words is "sixty-six trillion, three hundred twenty-eight billion, ninety-one million, one hundred eighty-two thousand, eighty".