66744241200 has 720 divisors, whose sum is σ = 300103847680. Its totient is φ = 13339883520.

The previous prime is 66744241189. The next prime is 66744241237. The reversal of 66744241200 is 214244766.

66744241200 is a `hidden beast` number, since 6 + 6 + 7 + 442 + 4 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6219039 + ... + 6229761.

Almost surely, 2^66744241200 is an apocalyptic number.

66744241200 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 66744241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150051923840).

66744241200 is an abundant number, since it is smaller than the sum of its proper divisors (233359606480).

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

66744241200 is a wasteful number, since it uses less digits than its factorization.

66744241200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10786 (or 10772 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 66744241200 its reverse (214244766), we get a palindrome (66958485966).

The spelling of 66744241200 in words is "sixty-six billion, seven hundred forty-four million, two hundred forty-one thousand, two hundred".