18730180800 has 420 divisors, whose sum is σ = 70469496856. Its totient is φ = 4877107200.

The previous prime is 18730180783. The next prime is 18730180823. The reversal of 18730180800 is 808103781.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5571120 + ... + 5574480.

Almost surely, 2^18730180800 is an apocalyptic number.

18730180800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18730180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35234748428).

18730180800 is an abundant number, since it is smaller than the sum of its proper divisors (51739316056).

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

18730180800 is a wasteful number, since it uses less digits than its factorization.

18730180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 18730180800 in words is "eighteen billion, seven hundred thirty million, one hundred eighty thousand, eight hundred".