73408739823360 has 1728 divisors, whose sum is σ = 294766410476160. Its totient is φ = 17450377150464.

The previous prime is 73408739823329. The next prime is 73408739823373. The reversal of 73408739823360 is 6332893780437.

73408739823360 is a `hidden beast` number, since 7 + 3 + 4 + 0 + 8 + 7 + 398 + 233 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17179670184 + ... + 17179674456.

It is an arithmetic number, because the mean of its divisors is an integer number (170582413470).

Almost surely, 2^{73408739823360} 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 73408739823360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147383205238080).

73408739823360 is an abundant number, since it is smaller than the sum of its proper divisors (221357670652800).

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

73408739823360 is an equidigital number, since it uses as much as digits as its factorization.

73408739823360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4370 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 73408739823360 in words is "seventy-three trillion, four hundred eight billion, seven hundred thirty-nine million, eight hundred twenty-three thousand, three hundred sixty".