32972734255032 has 1536 divisors, whose sum is σ = 114708549795840. Its totient is φ = 8810173785600.

The previous prime is 32972734254923. The next prime is 32972734255037. The reversal of 32972734255032 is 23055243727923.

32972734255032 is a `hidden beast` number, since 3 + 2 + 9 + 7 + 27 + 34 + 2 + 550 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 32972734255032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32972734255037) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 107403043023 + ... + 107403043329.

It is an arithmetic number, because the mean of its divisors is an integer number (74680045440).

Almost surely, 2^{32972734255032} 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 32972734255032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57354274897920).

32972734255032 is an abundant number, since it is smaller than the sum of its proper divisors (81735815540808).

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

32972734255032 is a wasteful number, since it uses less digits than its factorization.

32972734255032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 54.

The spelling of 32972734255032 in words is "thirty-two trillion, nine hundred seventy-two billion, seven hundred thirty-four million, two hundred fifty-five thousand, thirty-two".