33075406000 has 320 divisors, whose sum is σ = 98949666816. Its totient is φ = 10412928000.

The previous prime is 33075405997. The next prime is 33075406009. The reversal of 33075406000 is 60457033.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 33075406000.

It is not an unprimeable number, because it can be changed into a prime (33075406009) 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, 47865655 + ... + 47866345.

Almost surely, 2^33075406000 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 33075406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49474833408).

33075406000 is an abundant number, since it is smaller than the sum of its proper divisors (65874260816).

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

33075406000 is a wasteful number, since it uses less digits than its factorization.

33075406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The spelling of 33075406000 in words is "thirty-three billion, seventy-five million, four hundred six thousand".