32982197775072 has 768 divisors, whose sum is σ = 112961606123520. Its totient is φ = 8194004582400.

The previous prime is 32982197774987. The next prime is 32982197775077. The reversal of 32982197775072 is 27057779128923.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 32982197774988 and 32982197775006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32982197775077) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1518996088 + ... + 1519017800.

It is an arithmetic number, because the mean of its divisors is an integer number (147085424640).

Almost surely, 2^{32982197775072} is an apocalyptic number.

32982197775072 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 32982197775072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56480803061760).

32982197775072 is an abundant number, since it is smaller than the sum of its proper divisors (79979408348448).

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

32982197775072 is a wasteful number, since it uses less digits than its factorization.

32982197775072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21927 (or 21919 counting only the distinct ones).

The product of its (nonzero) digits is 186701760, while the sum is 69.

The spelling of 32982197775072 in words is "thirty-two trillion, nine hundred eighty-two billion, one hundred ninety-seven million, seven hundred seventy-five thousand, seventy-two".