66447333324288 has 400 divisors, whose sum is σ = 227172423962880. Its totient is φ = 18942060294144.

The previous prime is 66447333324287. The next prime is 66447333324311. The reversal of 66447333324288 is 88242333374466.

66447333324288 is a `hidden beast` number, since 6 + 64 + 473 + 3 + 3 + 3 + 24 + 2 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66447333324283) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 128346333 + ... + 128863011.

Almost surely, 2^{66447333324288} 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 66447333324288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113586211981440).

66447333324288 is an abundant number, since it is smaller than the sum of its proper divisors (160725090638592).

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

66447333324288 is an equidigital number, since it uses as much as digits as its factorization.

66447333324288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517159 (or 517134 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 63.

The spelling of 66447333324288 in words is "sixty-six trillion, four hundred forty-seven billion, three hundred thirty-three million, three hundred twenty-four thousand, two hundred eighty-eight".