66066042000 has 320 divisors, whose sum is σ = 244523635200. Its totient is φ = 15032678400.

The previous prime is 66066041999. The next prime is 66066042019. The reversal of 66066042000 is 24066066.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9614566 + ... + 9621434.

It is an arithmetic number, because the mean of its divisors is an integer number (764136360).

Almost surely, 2^66066042000 is an apocalyptic number.

66066042000 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 66066042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122261817600).

66066042000 is an abundant number, since it is smaller than the sum of its proper divisors (178457593200).

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

66066042000 is a wasteful number, since it uses less digits than its factorization.

66066042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7131 (or 7115 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 66066042000 in words is "sixty-six billion, sixty-six million, forty-two thousand", and thus it is an eban number.