66200189328 has 1200 divisors, whose sum is σ = 261853709040. Its totient is φ = 15941173248.

The previous prime is 66200189317. The next prime is 66200189371. The reversal of 66200189328 is 82398100266.

66200189328 is a `hidden beast` number, since 6 + 620 + 0 + 18 + 9 + 3 + 2 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 647804304 + 65552385024 = 25452^2 + 256032^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 743822308 + ... + 743822396.

Almost surely, 2^66200189328 is an apocalyptic number.

66200189328 is a gapful number since it is divisible by the number (68) 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 66200189328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130926854520).

66200189328 is an abundant number, since it is smaller than the sum of its proper divisors (195653519712).

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

66200189328 is a wasteful number, since it uses less digits than its factorization.

66200189328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 66200189328 in words is "sixty-six billion, two hundred million, one hundred eighty-nine thousand, three hundred twenty-eight".