18479485440 has 480 divisors, whose sum is σ = 69708038400. Its totient is φ = 4497113088.

The previous prime is 18479485433. The next prime is 18479485441. The reversal of 18479485440 is 4458497481.

18479485440 is a `hidden beast` number, since 1 + 8 + 4 + 7 + 94 + 8 + 544 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (18479485441) by changing a digit.

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, 30850261 + ... + 30850859.

It is an arithmetic number, because the mean of its divisors is an integer number (145225080).

Almost surely, 2^18479485440 is an apocalyptic number.

18479485440 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 18479485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34854019200).

18479485440 is an abundant number, since it is smaller than the sum of its proper divisors (51228552960).

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

18479485440 is a wasteful number, since it uses less digits than its factorization.

18479485440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 18479485440 in words is "eighteen billion, four hundred seventy-nine million, four hundred eighty-five thousand, four hundred forty".