66120697441152 has 384 divisors, whose sum is σ = 211123265520960. Its totient is φ = 19756656623616.

The previous prime is 66120697441133. The next prime is 66120697441153. The reversal of 66120697441152 is 25114479602166.

66120697441152 is a `hidden beast` number, since 6 + 6 + 120 + 69 + 7 + 441 + 15 + 2 = 666.

66120697441152 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 (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66120697441153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104635648 + ... + 105265664.

Almost surely, 2^{66120697441152} 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 66120697441152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105561632760480).

66120697441152 is an abundant number, since it is smaller than the sum of its proper divisors (145002568079808).

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

66120697441152 is a wasteful number, since it uses less digits than its factorization.

66120697441152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630310 (or 630295 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 66120697441152 in words is "sixty-six trillion, one hundred twenty billion, six hundred ninety-seven million, four hundred forty-one thousand, one hundred fifty-two".