73333792432896 has 288 divisors, whose sum is σ = 204056282529792. Its totient is φ = 23336428769280.

The previous prime is 73333792432891. The next prime is 73333792432897. The reversal of 73333792432896 is 69823429733337.

73333792432896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×73333792432896³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a self number, because there is not a number n which added to its sum of digits gives 73333792432896.

It is not an unprimeable number, because it can be changed into a prime (73333792432891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34738886881 + ... + 34738888991.

It is an arithmetic number, because the mean of its divisors is an integer number (708528758784).

Almost surely, 2^{73333792432896} 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 73333792432896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102028141264896).

73333792432896 is an abundant number, since it is smaller than the sum of its proper divisors (130722490096896).

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

73333792432896 is a wasteful number, since it uses less digits than its factorization.

73333792432896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5039 (or 5025 counting only the distinct ones).

The product of its digits is 740710656, while the sum is 69.

The spelling of 73333792432896 in words is "seventy-three trillion, three hundred thirty-three billion, seven hundred ninety-two million, four hundred thirty-two thousand, eight hundred ninety-six".