32133027168 has 216 divisors, whose sum is σ = 101074670424. Its totient is φ = 9675832320.

The previous prime is 32133027097. The next prime is 32133027169. The reversal of 32133027168 is 86172033123.

32133027168 is a `hidden beast` number, since 321 + 3 + 3 + 0 + 271 + 68 = 666.

It is a super-2 number, since 2×32133027168² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32133027169) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5677396 + ... + 5683052.

It is an arithmetic number, because the mean of its divisors is an integer number (467938289).

Almost surely, 2^32133027168 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 32133027168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50537335212).

32133027168 is an abundant number, since it is smaller than the sum of its proper divisors (68941643256).

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

32133027168 is a wasteful number, since it uses less digits than its factorization.

32133027168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5858 (or 5836 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 32133027168 in words is "thirty-two billion, one hundred thirty-three million, twenty-seven thousand, one hundred sixty-eight".