33636323400066 has 256 divisors, whose sum is σ = 78377063546880. Its totient is φ = 10685312951040.

The previous prime is 33636323400049. The next prime is 33636323400067. The reversal of 33636323400066 is 66000432363633.

33636323400066 is a `hidden beast` number, since 3 + 3 + 6 + 3 + 632 + 3 + 4 + 0 + 0 + 0 + 6 + 6 = 666.

It is a super-2 number, since 2×33636323400066² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33636323399994 and 33636323400030.

It is not an unprimeable number, because it can be changed into a prime (33636323400067) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4944333421 + ... + 4944340223.

It is an arithmetic number, because the mean of its divisors is an integer number (306160404480).

Almost surely, 2^{33636323400066} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33636323400066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39188531773440).

33636323400066 is an abundant number, since it is smaller than the sum of its proper divisors (44740740146814).

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

33636323400066 is a wasteful number, since it uses less digits than its factorization.

33636323400066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7278 (or 7272 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 45.

Adding to 33636323400066 its reverse (66000432363633), we get a palindrome (99636755763699).

The spelling of 33636323400066 in words is "thirty-three trillion, six hundred thirty-six billion, three hundred twenty-three million, four hundred thousand, sixty-six".