33990407680 has 80 divisors (see below), whose sum is σ = 81594643680. Its totient is φ = 13579927552.

The previous prime is 33990407669. The next prime is 33990407723. The reversal of 33990407680 is 8670409933.

It is a tau number, because it is divible by the number of its divisors (80).

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 7 ways as a sum of consecutive naturals, for example, 2263236 + ... + 2278204.

It is an arithmetic number, because the mean of its divisors is an integer number (1019933046).

Almost surely, 2^33990407680 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 33990407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40797321840).

33990407680 is an abundant number, since it is smaller than the sum of its proper divisors (47604236000).

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

33990407680 is an equidigital number, since it uses as much as digits as its factorization.

33990407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15879 (or 15863 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

The spelling of 33990407680 in words is "thirty-three billion, nine hundred ninety million, four hundred seven thousand, six hundred eighty".