18504007680 has 480 divisors, whose sum is σ = 64774854144. Its totient is φ = 4492099584.

The previous prime is 18504007649. The next prime is 18504007721. The reversal of 18504007680 is 8670040581.

It is a tau number, because it is divible by the number of its divisors (480).

It is a zygodrome in base 16.

It is a congruent number.

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, 179650509 + ... + 179650611.

Almost surely, 2^18504007680 is an apocalyptic number.

18504007680 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 18504007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32387427072).

18504007680 is an abundant number, since it is smaller than the sum of its proper divisors (46270846464).

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

18504007680 is a wasteful number, since it uses less digits than its factorization.

18504007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 18504007680 in words is "eighteen billion, five hundred four million, seven thousand, six hundred eighty".