32542384892472 has 640 divisors, whose sum is σ = 114243087336000. Its totient is φ = 8582607004608.

The previous prime is 32542384892447. The next prime is 32542384892473. The reversal of 32542384892472 is 27429848324523.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

32542384892472 is a `hidden beast` number, since 3 + 2 + 5 + 4 + 2 + 3 + 84 + 89 + 2 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 32542384892472 = 7774³ + 31772³ = 21294³ + 28392³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32542384892473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2503260376338 + ... + 2503260376350.

Almost surely, 2^{32542384892472} 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 32542384892472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57121543668000).

32542384892472 is an abundant number, since it is smaller than the sum of its proper divisors (81700702443528).

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

32542384892472 is an frugal number, since it uses more digits than its factorization.

32542384892472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 25 counting only the distinct ones).

The product of its digits is 185794560, while the sum is 63.

The spelling of 32542384892472 in words is "thirty-two trillion, five hundred forty-two billion, three hundred eighty-four million, eight hundred ninety-two thousand, four hundred seventy-two".