18483978240 has 1344 divisors, whose sum is σ = 85873132800. Its totient is φ = 3567255552.

The previous prime is 18483978193. The next prime is 18483978343. The reversal of 18483978240 is 4287938481.

It is a happy number.

18483978240 is a `hidden beast` number, since 1 + 8 + 4 + 8 + 397 + 8 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 637378546 + ... + 637378574.

It is an arithmetic number, because the mean of its divisors is an integer number (63893700).

Almost surely, 2^18483978240 is an apocalyptic number.

18483978240 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 18483978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42936566400).

18483978240 is an abundant number, since it is smaller than the sum of its proper divisors (67389154560).

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

18483978240 is a wasteful number, since it uses less digits than its factorization.

18483978240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 18483978240 in words is "eighteen billion, four hundred eighty-three million, nine hundred seventy-eight thousand, two hundred forty".