33121880064 has 864 divisors, whose sum is σ = 124697664000. Its totient is φ = 8453652480.

The previous prime is 33121880047. The next prime is 33121880069. The reversal of 33121880064 is 46008812133.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33121880069) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1068447729 + ... + 1068447759.

It is an arithmetic number, because the mean of its divisors is an integer number (144326000).

Almost surely, 2^33121880064 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 33121880064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62348832000).

33121880064 is an abundant number, since it is smaller than the sum of its proper divisors (91575783936).

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

33121880064 is a wasteful number, since it uses less digits than its factorization.

33121880064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 33121880064 in words is "thirty-three billion, one hundred twenty-one million, eight hundred eighty thousand, sixty-four".