66057828336 has 120 divisors (see below), whose sum is σ = 195851152224. Its totient is φ = 20712775680.

The previous prime is 66057828289. The next prime is 66057828337. The reversal of 66057828336 is 63382875066.

66057828336 is a `hidden beast` number, since 6 + 60 + 578 + 2 + 8 + 3 + 3 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66057828337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5283885 + ... + 5296371.

Almost surely, 2^66057828336 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 66057828336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97925576112).

66057828336 is an abundant number, since it is smaller than the sum of its proper divisors (129793323888).

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

66057828336 is a wasteful number, since it uses less digits than its factorization.

66057828336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14679 (or 14670 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 66057828336 in words is "sixty-six billion, fifty-seven million, eight hundred twenty-eight thousand, three hundred thirty-six".