33280023876480 has 192 divisors, whose sum is σ = 114933657870720. Its totient is φ = 8873624678400.

The previous prime is 33280023876479. The next prime is 33280023876487. The reversal of 33280023876480 is 8467832008233.

33280023876480 is a `hidden beast` number, since 3 + 3 + 2 + 80 + 0 + 2 + 3 + 87 + 6 + 480 = 666.

33280023876480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×33280023876480² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33280023876487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49043505 + ... + 49717455.

It is an arithmetic number, because the mean of its divisors is an integer number (598612801410).

Almost surely, 2^{33280023876480} is an apocalyptic number.

33280023876480 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 33280023876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57466828935360).

33280023876480 is an abundant number, since it is smaller than the sum of its proper divisors (81653633994240).

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

33280023876480 is a wasteful number, since it uses less digits than its factorization.

33280023876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682549 (or 682534 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 33280023876480 in words is "thirty-three trillion, two hundred eighty billion, twenty-three million, eight hundred seventy-six thousand, four hundred eighty".