33661028480 has 128 divisors (see below), whose sum is σ = 84252571200. Its totient is φ = 12842905600.

The previous prime is 33661028431. The next prime is 33661028519. The reversal of 33661028480 is 8482016633.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33661028480² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1529555 + ... + 1551405.

Almost surely, 2^33661028480 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 33661028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42126285600).

33661028480 is an abundant number, since it is smaller than the sum of its proper divisors (50591542720).

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

33661028480 is a wasteful number, since it uses less digits than its factorization.

33661028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21982 (or 21970 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The spelling of 33661028480 in words is "thirty-three billion, six hundred sixty-one million, twenty-eight thousand, four hundred eighty".