33021267968 has 208 divisors, whose sum is σ = 75739883520. Its totient is φ = 14269022208.

The previous prime is 33021267953. The next prime is 33021267989. The reversal of 33021267968 is 86976212033.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (208).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128487296 + ... + 128487552.

Almost surely, 2^33021267968 is an apocalyptic number.

33021267968 is a gapful number since it is divisible by the number (38) 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 33021267968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37869941760).

33021267968 is an abundant number, since it is smaller than the sum of its proper divisors (42718615552).

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

33021267968 is a wasteful number, since it uses less digits than its factorization.

33021267968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 47.

The spelling of 33021267968 in words is "thirty-three billion, twenty-one million, two hundred sixty-seven thousand, nine hundred sixty-eight".