12066727680 has 576 divisors, whose sum is σ = 50547302400. Its totient is φ = 2667479040.

The previous prime is 12066727657. The next prime is 12066727747. The reversal of 12066727680 is 8672766021.

12066727680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 7498716 + ... + 7500324.

Almost surely, 2^12066727680 is an apocalyptic number.

12066727680 is a gapful number since it is divisible by the number (10) 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 12066727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25273651200).

12066727680 is an abundant number, since it is smaller than the sum of its proper divisors (38480574720).

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

12066727680 is a wasteful number, since it uses less digits than its factorization.

12066727680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 12066727680 in words is "twelve billion, sixty-six million, seven hundred twenty-seven thousand, six hundred eighty".