66735422224 has 135 divisors (see below), whose sum is σ = 143346985951. Its totient is φ = 30090511360.

The previous prime is 66735422213. The next prime is 66735422227. The reversal of 66735422224 is 42222453766.

It is a happy number.

The square root of 66735422224 is 258332.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6596688400 + 60138733824 = 81220^2 + 245232^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66735422227) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 509430639 + ... + 509430769.

Almost surely, 2^66735422224 is an apocalyptic number.

66735422224 is the 258332-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66735422224

66735422224 is an abundant number, since it is smaller than the sum of its proper divisors (76611563727).

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

66735422224 is a wasteful number, since it uses less digits than its factorization.

66735422224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 179 counting only the distinct ones).

The product of its digits is 967680, while the sum is 43.

It can be divided in two parts, 6673542 and 2224, that added together give a palindrome (6675766).

The spelling of 66735422224 in words is "sixty-six billion, seven hundred thirty-five million, four hundred twenty-two thousand, two hundred twenty-four".