66211200 has 432 divisors, whose sum is σ = 273354900. Its totient is φ = 15206400.

The previous prime is 66211183. The next prime is 66211207. The reversal of 66211200 is 211266.

It is a happy number.

66211200 is a `hidden beast` number, since 662 + 1 + 1 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66211207) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3484791 + ... + 3484809.

Almost surely, 2^66211200 is an apocalyptic number.

66211200 is a gapful number since it is divisible by the number (60) 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 66211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136677450).

66211200 is an abundant number, since it is smaller than the sum of its proper divisors (207143700).

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

66211200 is a wasteful number, since it uses less digits than its factorization.

66211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 66211200 is about 8137.0264839190. The cubic root of 66211200 is about 404.5546086768.

Adding to 66211200 its reverse (211266), we get a palindrome (66422466).

The spelling of 66211200 in words is "sixty-six million, two hundred eleven thousand, two hundred".