32979913881072 has 160 divisors (see below), whose sum is σ = 88874664990720. Its totient is φ = 10526449582080.

The previous prime is 32979913881037. The next prime is 32979913881073. The reversal of 32979913881072 is 27018831997923.

It is a junction number, because it is equal to n+sod(n) for n = 32979913880988 and 32979913881006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32979913881073) 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, 647032804 + ... + 647083772.

It is an arithmetic number, because the mean of its divisors is an integer number (555466656192).

Almost surely, 2^{32979913881072} 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 32979913881072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44437332495360).

32979913881072 is an abundant number, since it is smaller than the sum of its proper divisors (55894751109648).

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

32979913881072 is a wasteful number, since it uses less digits than its factorization.

32979913881072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55591 (or 55585 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 69.

The spelling of 32979913881072 in words is "thirty-two trillion, nine hundred seventy-nine billion, nine hundred thirteen million, eight hundred eighty-one thousand, seventy-two".