32982709656 has 128 divisors (see below), whose sum is σ = 92230871040. Its totient is φ = 9760435200.

The previous prime is 32982709651. The next prime is 32982709679. The reversal of 32982709656 is 65690728923.

It is a junction number, because it is equal to n+sod(n) for n = 32982709596 and 32982709605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32982709651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1566076 + ... + 1586996.

It is an arithmetic number, because the mean of its divisors is an integer number (720553680).

Almost surely, 2^32982709656 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 32982709656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46115435520).

32982709656 is an abundant number, since it is smaller than the sum of its proper divisors (59248161384).

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

32982709656 is a wasteful number, since it uses less digits than its factorization.

32982709656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21137 (or 21133 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 32982709656 in words is "thirty-two billion, nine hundred eighty-two million, seven hundred nine thousand, six hundred fifty-six".