33680094672 has 160 divisors (see below), whose sum is σ = 100391288832. Its totient is φ = 9530906112.

The previous prime is 33680094653. The next prime is 33680094703. The reversal of 33680094672 is 27649008633.

It is a super-2 number, since 2×33680094672² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20203183 + ... + 20204849.

Almost surely, 2^33680094672 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 33680094672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50195644416).

33680094672 is an abundant number, since it is smaller than the sum of its proper divisors (66711194160).

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

33680094672 is a wasteful number, since it uses less digits than its factorization.

33680094672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 33680094672 in words is "thirty-three billion, six hundred eighty million, ninety-four thousand, six hundred seventy-two".