66795644160 has 864 divisors, whose sum is σ = 276457638912. Its totient is φ = 14571601920.

The previous prime is 66795644147. The next prime is 66795644203. The reversal of 66795644160 is 6144659766.

66795644160 is a `hidden beast` number, since 6 + 6 + 79 + 564 + 4 + 1 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 66795644097 and 66795644106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 182004297 + ... + 182004663.

Almost surely, 2^66795644160 is an apocalyptic number.

66795644160 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 66795644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138228819456).

66795644160 is an abundant number, since it is smaller than the sum of its proper divisors (209661994752).

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

66795644160 is a wasteful number, since it uses less digits than its factorization.

66795644160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 66795644160 in words is "sixty-six billion, seven hundred ninety-five million, six hundred forty-four thousand, one hundred sixty".