66006066060066 has 32 divisors (see below), whose sum is σ = 146454137337600. Its totient is φ = 19662823992080.

The previous prime is 66006066060037. The next prime is 66006066060091.

66006066060066 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 66006066059997 and 66006066060024.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8475351276 + ... + 8475359063.

It is an arithmetic number, because the mean of its divisors is an integer number (4576691791800).

Almost surely, 2^{66006066060066} is an apocalyptic number.

66006066060066 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

66006066060066 is an abundant number, since it is smaller than the sum of its proper divisors (80448071277534).

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

66006066060066 is a wasteful number, since it uses less digits than its factorization.

66006066060066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16950710414.

The product of its (nonzero) digits is 1679616, while the sum is 48.

The spelling of 66006066060066 in words is "sixty-six trillion, six billion, sixty-six million, sixty thousand, sixty-six", and thus it is an eban number.