66536670200 has 768 divisors, whose sum is σ = 218865991680. Its totient is φ = 18144000000.

The previous prime is 66536670199. The next prime is 66536670229. The reversal of 66536670200 is 207663566.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 440640125 + ... + 440640275.

It is an arithmetic number, because the mean of its divisors is an integer number (284981760).

Almost surely, 2^66536670200 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 66536670200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109432995840).

66536670200 is an abundant number, since it is smaller than the sum of its proper divisors (152329321480).

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

66536670200 is a wasteful number, since it uses less digits than its factorization.

66536670200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 41.

The spelling of 66536670200 in words is "sixty-six billion, five hundred thirty-six million, six hundred seventy thousand, two hundred".