33661728768 has 96 divisors (see below), whose sum is σ = 89852490000. Its totient is φ = 11206852608.

The previous prime is 33661728739. The next prime is 33661728797. The reversal of 33661728768 is 86782716633.

It is an interprime number because it is at equal distance from previous prime (33661728739) and next prime (33661728797).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33661728768² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5852358 + ... + 5858106.

Almost surely, 2^33661728768 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 33661728768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44926245000).

33661728768 is an abundant number, since it is smaller than the sum of its proper divisors (56190761232).

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

33661728768 is an equidigital number, since it uses as much as digits as its factorization.

33661728768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6727 (or 6707 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 57.

The spelling of 33661728768 in words is "thirty-three billion, six hundred sixty-one million, seven hundred twenty-eight thousand, seven hundred sixty-eight".