66449323888272 has 400 divisors, whose sum is σ = 213047625954240. Its totient is φ = 19862294529024.

The previous prime is 66449323888217. The next prime is 66449323888279. The reversal of 66449323888272 is 27288832394466.

66449323888272 is a `hidden beast` number, since 6 + 6 + 4 + 49 + 3 + 238 + 88 + 272 = 666.

It is a super-3 number, since 3×66449323888272³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 66449323888272.

It is not an unprimeable number, because it can be changed into a prime (66449323888279) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 400747879 + ... + 400913657.

Almost surely, 2^{66449323888272} 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 66449323888272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106523812977120).

66449323888272 is an abundant number, since it is smaller than the sum of its proper divisors (146598302065968).

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

66449323888272 is a wasteful number, since it uses less digits than its factorization.

66449323888272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166492 (or 166477 counting only the distinct ones).

The product of its digits is 1337720832, while the sum is 72.

The spelling of 66449323888272 in words is "sixty-six trillion, four hundred forty-nine billion, three hundred twenty-three million, eight hundred eighty-eight thousand, two hundred seventy-two".