73410918900 has 144 divisors (see below), whose sum is σ = 231809829888. Its totient is φ = 17789040000.

The previous prime is 73410918871. The next prime is 73410918923. The reversal of 73410918900 is 981901437.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15345909 + ... + 15350691.

Almost surely, 2^73410918900 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 73410918900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115904914944).

73410918900 is an abundant number, since it is smaller than the sum of its proper divisors (158398910988).

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

73410918900 is a wasteful number, since it uses less digits than its factorization.

73410918900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9462 (or 9455 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 73410918900 in words is "seventy-three billion, four hundred ten million, nine hundred eighteen thousand, nine hundred".