66066060060 has 720 divisors, whose sum is σ = 274915236960. Its totient is φ = 12660157440.

The previous prime is 66066060031. The next prime is 66066060061. The reversal of 66066060060 is 6006066066.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 66066059997 and 66066060024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66066060061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 61801206 + ... + 61802274.

It is an arithmetic number, because the mean of its divisors is an integer number (381826718).

Almost surely, 2^66066060060 is an apocalyptic number.

66066060060 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 66066060060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137457618480).

66066060060 is an abundant number, since it is smaller than the sum of its proper divisors (208849176900).

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

66066060060 is a wasteful number, since it uses less digits than its factorization.

66066060060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 66066060060 in words is "sixty-six billion, sixty-six million, sixty thousand, sixty", and thus it is an eban number.