32320082816 has 128 divisors (see below), whose sum is σ = 77470387200. Its totient is φ = 13131030528.

The previous prime is 32320082813. The next prime is 32320082869. The reversal of 32320082816 is 61828002323.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32320082813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2321765 + ... + 2335643.

It is an arithmetic number, because the mean of its divisors is an integer number (605237400).

Almost surely, 2^32320082816 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 32320082816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38735193600).

32320082816 is an abundant number, since it is smaller than the sum of its proper divisors (45150304384).

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

32320082816 is a wasteful number, since it uses less digits than its factorization.

32320082816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14036 (or 14024 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 32320082816 in words is "thirty-two billion, three hundred twenty million, eighty-two thousand, eight hundred sixteen".