33090816480 has 192 divisors, whose sum is σ = 110453414400. Its totient is φ = 8304076800.

The previous prime is 33090816463. The next prime is 33090816491. The reversal of 33090816480 is 8461809033.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1365106 + ... + 1389134.

It is an arithmetic number, because the mean of its divisors is an integer number (575278200).

Almost surely, 2^33090816480 is an apocalyptic number.

33090816480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33090816480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55226707200).

33090816480 is an abundant number, since it is smaller than the sum of its proper divisors (77362597920).

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

33090816480 is a wasteful number, since it uses less digits than its factorization.

33090816480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24217 (or 24209 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 33090816480 in words is "thirty-three billion, ninety million, eight hundred sixteen thousand, four hundred eighty".