66193483057704 has 576 divisors, whose sum is σ = 203886412329600. Its totient is φ = 19324624011264.

The previous prime is 66193483057703. The next prime is 66193483057711. The reversal of 66193483057704 is 40775038439166.

It is a happy number.

66193483057704 is a `hidden beast` number, since 6 + 6 + 19 + 3 + 48 + 3 + 0 + 577 + 0 + 4 = 666.

66193483057704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (66193483057703) 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 143 ways as a sum of consecutive naturals, for example, 3705610677 + ... + 3705628539.

It is an arithmetic number, because the mean of its divisors is an integer number (353969465850).

Almost surely, 2^{66193483057704} 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 66193483057704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101943206164800).

66193483057704 is an abundant number, since it is smaller than the sum of its proper divisors (137692929271896).

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

66193483057704 is a wasteful number, since it uses less digits than its factorization.

66193483057704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18094 (or 18064 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 66193483057704 in words is "sixty-six trillion, one hundred ninety-three billion, four hundred eighty-three million, fifty-seven thousand, seven hundred four".