33960693872 has 80 divisors (see below), whose sum is σ = 76366540800. Its totient is φ = 14329136640.

The previous prime is 33960693859. The next prime is 33960693889. The reversal of 33960693872 is 27839606933.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6430529 + ... + 6435807.

It is an arithmetic number, because the mean of its divisors is an integer number (954581760).

Almost surely, 2^33960693872 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 33960693872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38183270400).

33960693872 is an abundant number, since it is smaller than the sum of its proper divisors (42405846928).

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

33960693872 is a wasteful number, since it uses less digits than its factorization.

33960693872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6174 (or 6168 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 56.

The spelling of 33960693872 in words is "thirty-three billion, nine hundred sixty million, six hundred ninety-three thousand, eight hundred seventy-two".