66066420344100 has 144 divisors (see below), whose sum is σ = 208579140455616. Its totient is φ = 16012300544000.

The previous prime is 66066420344059. The next prime is 66066420344123. The reversal of 66066420344100 is 144302466066.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11542360 + ... + 16289840.

It is an arithmetic number, because the mean of its divisors is an integer number (1448466253164).

Almost surely, 2^{66066420344100} is an apocalyptic number.

66066420344100 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 66066420344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104289570227808).

66066420344100 is an abundant number, since it is smaller than the sum of its proper divisors (142512720111516).

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

66066420344100 is a wasteful number, since it uses less digits than its factorization.

66066420344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4751726 (or 4751719 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 66066420344100 in words is "sixty-six trillion, sixty-six billion, four hundred twenty million, three hundred forty-four thousand, one hundred".