73990444032000 has 1120 divisors, whose sum is σ = 277074079311744. Its totient is φ = 19725410304000.

The previous prime is 73990444031963. The next prime is 73990444032013. The reversal of 73990444032000 is 23044409937.

73990444032000 is a `hidden beast` number, since 7 + 39 + 9 + 0 + 4 + 4 + 403 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20155390165 + ... + 20155393835.

Almost surely, 2^{73990444032000} 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 73990444032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138537039655872).

73990444032000 is an abundant number, since it is smaller than the sum of its proper divisors (203083635279744).

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

73990444032000 is an frugal number, since it uses more digits than its factorization.

73990444032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3739 (or 3681 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 73990444032000 in words is "seventy-three trillion, nine hundred ninety billion, four hundred forty-four million, thirty-two thousand".