33640628112 has 240 divisors, whose sum is σ = 119612566528. Its totient is φ = 8585948160.

The previous prime is 33640628059. The next prime is 33640628117. The reversal of 33640628112 is 21182604633.

33640628112 is a `hidden beast` number, since 3 + 3 + 640 + 6 + 2 + 8 + 1 + 1 + 2 = 666.

It is a super-2 number, since 2×33640628112² (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 not an unprimeable number, because it can be changed into a prime (33640628117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364818 + ... + 447630.

Almost surely, 2^33640628112 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 33640628112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59806283264).

33640628112 is an abundant number, since it is smaller than the sum of its proper divisors (85971938416).

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

33640628112 is a wasteful number, since it uses less digits than its factorization.

33640628112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82878 (or 82869 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 33640628112 in words is "thirty-three billion, six hundred forty million, six hundred twenty-eight thousand, one hundred twelve".