32473120849920 has 720 divisors, whose sum is σ = 119434362378240. Its totient is φ = 8138693541888.

The previous prime is 32473120849889. The next prime is 32473120849937. The reversal of 32473120849920 is 2994802137423.

It is a happy number.

32473120849920 is a `hidden beast` number, since 3 + 2 + 4 + 7 + 3 + 120 + 8 + 499 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1779047514 + ... + 1779065766.

Almost surely, 2^{32473120849920} is an apocalyptic number.

32473120849920 is a gapful number since it is divisible by the number (30) 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 32473120849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59717181189120).

32473120849920 is an abundant number, since it is smaller than the sum of its proper divisors (86961241528320).

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

32473120849920 is a wasteful number, since it uses less digits than its factorization.

32473120849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18438 (or 18409 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 32473120849920 in words is "thirty-two trillion, four hundred seventy-three billion, one hundred twenty million, eight hundred forty-nine thousand, nine hundred twenty".