33950768096 has 192 divisors, whose sum is σ = 82039910400. Its totient is φ = 13515786240.

The previous prime is 33950768087. The next prime is 33950768107. The reversal of 33950768096 is 69086705933.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36078986 + ... + 36079926.

It is an arithmetic number, because the mean of its divisors is an integer number (427291200).

Almost surely, 2^33950768096 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 33950768096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41019955200).

33950768096 is an abundant number, since it is smaller than the sum of its proper divisors (48089142304).

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

33950768096 is a wasteful number, since it uses less digits than its factorization.

33950768096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 56.

The spelling of 33950768096 in words is "thirty-three billion, nine hundred fifty million, seven hundred sixty-eight thousand, ninety-six".