73023984000 has 1024 divisors, whose sum is σ = 298178150400. Its totient is φ = 17563392000.

The previous prime is 73023983953. The next prime is 73023984023. The reversal of 73023984000 is 48932037.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 574991937 + ... + 574992063.

It is an arithmetic number, because the mean of its divisors is an integer number (291189600).

Almost surely, 2^73023984000 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 73023984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149089075200).

73023984000 is an abundant number, since it is smaller than the sum of its proper divisors (225154166400).

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

73023984000 is a wasteful number, since it uses less digits than its factorization.

73023984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 73023984000 in words is "seventy-three billion, twenty-three million, nine hundred eighty-four thousand".