32683882752 has 144 divisors (see below), whose sum is σ = 99010215360. Its totient is φ = 10628812800.

The previous prime is 32683882747. The next prime is 32683882753. The reversal of 32683882752 is 25728838623.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (32683882753) 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, 225727 + ... + 341057.

It is an arithmetic number, because the mean of its divisors is an integer number (687570940).

Almost surely, 2^32683882752 is an apocalyptic number.

32683882752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32683882752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49505107680).

32683882752 is an abundant number, since it is smaller than the sum of its proper divisors (66326332608).

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

32683882752 is a wasteful number, since it uses less digits than its factorization.

32683882752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115397 (or 115377 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 32683882752 in words is "thirty-two billion, six hundred eighty-three million, eight hundred eighty-two thousand, seven hundred fifty-two".