66120306048 has 256 divisors, whose sum is σ = 200286873600. Its totient is φ = 21462755328.

The previous prime is 66120306047. The next prime is 66120306053. The reversal of 66120306048 is 84060302166.

66120306048 is a `hidden beast` number, since 6 + 6 + 12 + 0 + 30 + 604 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66120306047) 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 31 ways as a sum of consecutive naturals, for example, 90204690 + ... + 90205422.

It is an arithmetic number, because the mean of its divisors is an integer number (782370600).

Almost surely, 2^66120306048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66120306048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100143436800).

66120306048 is an abundant number, since it is smaller than the sum of its proper divisors (134166567552).

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

66120306048 is a wasteful number, since it uses less digits than its factorization.

66120306048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 66120306048 in words is "sixty-six billion, one hundred twenty million, three hundred six thousand, forty-eight".