73618447104 has 288 divisors, whose sum is σ = 228051532800. Its totient is φ = 23381360640.

The previous prime is 73618447061. The next prime is 73618447159. The reversal of 73618447104 is 40174481637.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 73618447104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49440792 + ... + 49442280.

It is an arithmetic number, because the mean of its divisors is an integer number (791845600).

Almost surely, 2^73618447104 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 73618447104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114025766400).

73618447104 is an abundant number, since it is smaller than the sum of its proper divisors (154433085696).

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

73618447104 is a wasteful number, since it uses less digits than its factorization.

73618447104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 73618447104 in words is "seventy-three billion, six hundred eighteen million, four hundred forty-seven thousand, one hundred four".