33075000000 has 756 divisors, whose sum is σ = 141386646360. Its totient is φ = 7560000000.

The previous prime is 33074999999. The next prime is 33075000031. The reversal of 33075000000 is 57033.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4724999997 + ... + 4725000003.

Almost surely, 2^33075000000 is an apocalyptic number.

33075000000 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 33075000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70693323180).

33075000000 is an abundant number, since it is smaller than the sum of its proper divisors (108311646360).

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

33075000000 is an frugal number, since it uses more digits than its factorization.

33075000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 18.

Adding to 33075000000 its reverse (57033), we get a palindrome (33075057033).

The spelling of 33075000000 in words is "thirty-three billion, seventy-five million", and thus it is an aban number and an uban number.