32322451878768 has 160 divisors (see below), whose sum is σ = 85885665465600. Its totient is φ = 10468507392000.

The previous prime is 32322451878763. The next prime is 32322451878781. The reversal of 32322451878768 is 86787815422323.

It is a junction number, because it is equal to n+sod(n) for n = 32322451878699 and 32322451878708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32322451878763) 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, 522825363 + ... + 522887181.

It is an arithmetic number, because the mean of its divisors is an integer number (536785409160).

Almost surely, 2^{32322451878768} 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 32322451878768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42942832732800).

32322451878768 is an abundant number, since it is smaller than the sum of its proper divisors (53563213586832).

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

32322451878768 is a wasteful number, since it uses less digits than its factorization.

32322451878768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62951 (or 62945 counting only the distinct ones).

The product of its digits is 216760320, while the sum is 66.

The spelling of 32322451878768 in words is "thirty-two trillion, three hundred twenty-two billion, four hundred fifty-one million, eight hundred seventy-eight thousand, seven hundred sixty-eight".