73545843284320 has 384 divisors, whose sum is σ = 193409114895360. Its totient is φ = 26205215662080.

The previous prime is 73545843284239. The next prime is 73545843284371. The reversal of 73545843284320 is 2348234854537.

It is a happy number.

73545843284320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 21200875546 + ... + 21200879014.

It is an arithmetic number, because the mean of its divisors is an integer number (503669570040).

Almost surely, 2^{73545843284320} 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 73545843284320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96704557447680).

73545843284320 is an abundant number, since it is smaller than the sum of its proper divisors (119863271611040).

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

73545843284320 is a wasteful number, since it uses less digits than its factorization.

73545843284320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4798 (or 4790 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 58.

The spelling of 73545843284320 in words is "seventy-three trillion, five hundred forty-five billion, eight hundred forty-three million, two hundred eighty-four thousand, three hundred twenty".