32220621632 has 56 divisors (see below), whose sum is σ = 65152783080. Its totient is φ = 15805532160.

The previous prime is 32220621623. The next prime is 32220621637. The reversal of 32220621632 is 23612602223.

It can be written as a sum of positive squares in 4 ways, for example, as 4791962176 + 27428659456 = 69224^2 + 165616^2 .

It is a junction number, because it is equal to n+sod(n) for n = 32220621595 and 32220621604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32220621637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1539494 + ... + 1560282.

It is an arithmetic number, because the mean of its divisors is an integer number (1163442555).

Almost surely, 2^32220621632 is an apocalyptic number.

32220621632 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 32220621632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32576391540).

32220621632 is an abundant number, since it is smaller than the sum of its proper divisors (32932161448).

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

32220621632 is a wasteful number, since it uses less digits than its factorization.

32220621632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21259 (or 21249 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The spelling of 32220621632 in words is "thirty-two billion, two hundred twenty million, six hundred twenty-one thousand, six hundred thirty-two".