66344063823180 has 1152 divisors, whose sum is σ = 242856528445440. Its totient is φ = 14448380037120.

The previous prime is 66344063823161. The next prime is 66344063823253. The reversal of 66344063823180 is 8132836044366.

66344063823180 is a `hidden beast` number, since 6 + 6 + 3 + 4 + 406 + 38 + 23 + 180 = 666.

66344063823180 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 76876087429 + ... + 76876088291.

It is an arithmetic number, because the mean of its divisors is an integer number (210812958720).

Almost surely, 2^{66344063823180} is an apocalyptic number.

66344063823180 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 66344063823180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121428264222720).

66344063823180 is an abundant number, since it is smaller than the sum of its proper divisors (176512464622260).

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

66344063823180 is a wasteful number, since it uses less digits than its factorization.

66344063823180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 66344063823180 in words is "sixty-six trillion, three hundred forty-four billion, sixty-three million, eight hundred twenty-three thousand, one hundred eighty".