32745155904 has 168 divisors, whose sum is σ = 97961569888. Its totient is φ = 10844720640.

The previous prime is 32745155851. The next prime is 32745155917. The reversal of 32745155904 is 40955154723.

32745155904 is a `hidden beast` number, since 3 + 2 + 7 + 4 + 51 + 5 + 590 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 32745155904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2434959 + ... + 2448369.

Almost surely, 2^32745155904 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 32745155904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48980784944).

32745155904 is an abundant number, since it is smaller than the sum of its proper divisors (65216413984).

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

32745155904 is a wasteful number, since it uses less digits than its factorization.

32745155904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13595 (or 13573 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 32745155904 in words is "thirty-two billion, seven hundred forty-five million, one hundred fifty-five thousand, nine hundred four".