33293868960 has 384 divisors, whose sum is σ = 126414618624. Its totient is φ = 7265730560.

The previous prime is 33293868953. The next prime is 33293868961. The reversal of 33293868960 is 6986839233.

It is a super-2 number, since 2×33293868960² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33293868960.

It is not an unprimeable number, because it can be changed into a prime (33293868961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2056417 + ... + 2072543.

It is an arithmetic number, because the mean of its divisors is an integer number (329204736).

Almost surely, 2^33293868960 is an apocalyptic number.

33293868960 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 33293868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63207309312).

33293868960 is an abundant number, since it is smaller than the sum of its proper divisors (93120749664).

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

33293868960 is a wasteful number, since it uses less digits than its factorization.

33293868960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16196 (or 16188 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 57.

The spelling of 33293868960 in words is "thirty-three billion, two hundred ninety-three million, eight hundred sixty-eight thousand, nine hundred sixty".