73205745984 has 504 divisors, whose sum is σ = 259861799808. Its totient is φ = 19578101760.

The previous prime is 73205745953. The next prime is 73205745997. The reversal of 73205745984 is 48954750237.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 73205745984.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 130027687 + ... + 130028249.

Almost surely, 2^73205745984 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 73205745984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129930899904).

73205745984 is an abundant number, since it is smaller than the sum of its proper divisors (186656053824).

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

73205745984 is a wasteful number, since it uses less digits than its factorization.

73205745984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 73205745984 in words is "seventy-three billion, two hundred five million, seven hundred forty-five thousand, nine hundred eighty-four".