73304047440 has 800 divisors, whose sum is σ = 291389683200. Its totient is φ = 17031306240.

The previous prime is 73304047387. The next prime is 73304047441. The reversal of 73304047440 is 4474040337.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 73304047395 and 73304047404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73304047441) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 270494505 + ... + 270494775.

It is an arithmetic number, because the mean of its divisors is an integer number (364237104).

Almost surely, 2^73304047440 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 73304047440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145694841600).

73304047440 is an abundant number, since it is smaller than the sum of its proper divisors (218085635760).

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

73304047440 is a wasteful number, since it uses less digits than its factorization.

73304047440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

Adding to 73304047440 its reverse (4474040337), we get a palindrome (77778087777).

The spelling of 73304047440 in words is "seventy-three billion, three hundred four million, forty-seven thousand, four hundred forty".