18287268480 has 512 divisors, whose sum is σ = 70408396800. Its totient is φ = 4459069440.

The previous prime is 18287268473. The next prime is 18287268511. The reversal of 18287268480 is 8486278281.

18287268480 is a `hidden beast` number, since 1 + 82 + 87 + 2 + 6 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28528960 + ... + 28529600.

It is an arithmetic number, because the mean of its divisors is an integer number (137516400).

Almost surely, 2^18287268480 is an apocalyptic number.

18287268480 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 18287268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35204198400).

18287268480 is an abundant number, since it is smaller than the sum of its proper divisors (52121128320).

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

18287268480 is a wasteful number, since it uses less digits than its factorization.

18287268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 18287268480 in words is "eighteen billion, two hundred eighty-seven million, two hundred sixty-eight thousand, four hundred eighty".