33006730416 has 120 divisors (see below), whose sum is σ = 95008762800. Its totient is φ = 9864898560.

The previous prime is 33006730397. The next prime is 33006730457. The reversal of 33006730416 is 61403760033.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385060 + ... + 462908.

It is an arithmetic number, because the mean of its divisors is an integer number (791739690).

Almost surely, 2^33006730416 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 33006730416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47504381400).

33006730416 is an abundant number, since it is smaller than the sum of its proper divisors (62002032384).

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

33006730416 is a wasteful number, since it uses less digits than its factorization.

33006730416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77955 (or 77938 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 33.

The spelling of 33006730416 in words is "thirty-three billion, six million, seven hundred thirty thousand, four hundred sixteen".