32985552068 has 72 divisors (see below), whose sum is σ = 67560279192. Its totient is φ = 14050423296.

The previous prime is 32985552049. The next prime is 32985552113. The reversal of 32985552068 is 86025558923.

It can be written as a sum of positive squares in 4 ways, for example, as 24423364 + 32961128704 = 4942^2 + 181552^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35202896 + ... + 35203832.

It is an arithmetic number, because the mean of its divisors is an integer number (938337211).

Almost surely, 2^32985552068 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 32985552068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33780139596).

32985552068 is an abundant number, since it is smaller than the sum of its proper divisors (34574727124).

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

32985552068 is a wasteful number, since it uses less digits than its factorization.

32985552068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 53.

The spelling of 32985552068 in words is "thirty-two billion, nine hundred eighty-five million, five hundred fifty-two thousand, sixty-eight".