73993324160 has 192 divisors, whose sum is σ = 217876045320. Its totient is φ = 23876665344.

The previous prime is 73993324151. The next prime is 73993324187. The reversal of 73993324160 is 6142339937.

It can be written as a sum of positive squares in 4 ways, for example, as 68012467264 + 5980856896 = 260792^2 + 77336^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 463724 + ... + 602516.

Almost surely, 2^73993324160 is an apocalyptic number.

73993324160 is a gapful number since it is divisible by the number (70) 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 73993324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108938022660).

73993324160 is an abundant number, since it is smaller than the sum of its proper divisors (143882721160).

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

73993324160 is a wasteful number, since it uses less digits than its factorization.

73993324160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138843 (or 138824 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 47.

The spelling of 73993324160 in words is "seventy-three billion, nine hundred ninety-three million, three hundred twenty-four thousand, one hundred sixty".