33668276688 has 240 divisors, whose sum is σ = 102864505536. Its totient is φ = 10236948480.

The previous prime is 33668276683. The next prime is 33668276689. The reversal of 33668276688 is 88667286633.

It is a super-2 number, since 2×33668276688² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33668276683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29980095 + ... + 29981217.

Almost surely, 2^33668276688 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 33668276688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51432252768).

33668276688 is an abundant number, since it is smaller than the sum of its proper divisors (69196228848).

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

33668276688 is a wasteful number, since it uses less digits than its factorization.

33668276688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1513 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 33668276688 in words is "thirty-three billion, six hundred sixty-eight million, two hundred seventy-six thousand, six hundred eighty-eight".