66816182710080 has 168 divisors, whose sum is σ = 230674179925800. Its totient is φ = 17751411904512.

The previous prime is 66816182710049. The next prime is 66816182710181. The reversal of 66816182710080 is 8001728161866.

It is a happy number.

66816182710080 is a `hidden beast` number, since 6 + 6 + 8 + 1 + 618 + 2 + 7 + 10 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1500174233856 + 65316008476224 = 1224816^2 + 8081832^2 .

It is a junction number, because it is equal to n+sod(n) for n = 66816182709999 and 66816182710026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42348075 + ... + 43897514.

Almost surely, 2^{66816182710080} is an apocalyptic number.

66816182710080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66816182710080 is an abundant number, since it is smaller than the sum of its proper divisors (163857997215720).

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

66816182710080 is a wasteful number, since it uses less digits than its factorization.

66816182710080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86245881 (or 86245868 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 66816182710080 in words is "sixty-six trillion, eight hundred sixteen billion, one hundred eighty-two million, seven hundred ten thousand, eighty".