66806355200 has 432 divisors, whose sum is σ = 190415156400. Its totient is φ = 22987407360.

The previous prime is 66806355191. The next prime is 66806355241. The reversal of 66806355200 is 255360866.

It can be written as a sum of positive squares in 24 ways, for example, as 66077787136 + 728568064 = 257056^2 + 26992^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210745442 + ... + 210745758.

It is an arithmetic number, because the mean of its divisors is an integer number (440775825).

Almost surely, 2^66806355200 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 66806355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95207578200).

66806355200 is an abundant number, since it is smaller than the sum of its proper divisors (123608801200).

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

66806355200 is a wasteful number, since it uses less digits than its factorization.

66806355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 66806355200 in words is "sixty-six billion, eight hundred six million, three hundred fifty-five thousand, two hundred".