18543792960 has 336 divisors, whose sum is σ = 79522515072. Its totient is φ = 3853209600.

The previous prime is 18543792947. The next prime is 18543793007. The reversal of 18543792960 is 6929734581.

18543792960 is a `hidden beast` number, since 1 + 8 + 543 + 7 + 9 + 2 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 18543792897 and 18543792906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179950 + ... + 263570.

It is an arithmetic number, because the mean of its divisors is an integer number (236674152).

It is a 1-persistent number, because it is pandigital, but 2⋅18543792960 = 37087585920 is not.

Almost surely, 2^18543792960 is an apocalyptic number.

18543792960 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 18543792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39761257536).

18543792960 is an abundant number, since it is smaller than the sum of its proper divisors (60978722112).

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

18543792960 is a wasteful number, since it uses less digits than its factorization.

18543792960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83662 (or 83649 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 18543792960 in words is "eighteen billion, five hundred forty-three million, seven hundred ninety-two thousand, nine hundred sixty".