18384720480 has 288 divisors, whose sum is σ = 72229195584. Its totient is φ = 4171235328.

The previous prime is 18384720463. The next prime is 18384720503. The reversal of 18384720480 is 8402748381.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 1374304 + ... + 1387616.

It is an arithmetic number, because the mean of its divisors is an integer number (250795818).

Almost surely, 2^18384720480 is an apocalyptic number.

18384720480 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 18384720480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36114597792).

18384720480 is an abundant number, since it is smaller than the sum of its proper divisors (53844475104).

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

18384720480 is a wasteful number, since it uses less digits than its factorization.

18384720480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13478 (or 13467 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 18384720480 in words is "eighteen billion, three hundred eighty-four million, seven hundred twenty thousand, four hundred eighty".