18272485440 has 560 divisors, whose sum is σ = 74661491520. Its totient is φ = 4195307520.

The previous prime is 18272485417. The next prime is 18272485487. The reversal of 18272485440 is 4458427281.

18272485440 is a `hidden beast` number, since 1 + 82 + 7 + 24 + 8 + 544 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5415594 + ... + 5418966.

It is an arithmetic number, because the mean of its divisors is an integer number (133324092).

Almost surely, 2^18272485440 is an apocalyptic number.

18272485440 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 18272485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37330745760).

18272485440 is an abundant number, since it is smaller than the sum of its proper divisors (56389006080).

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

18272485440 is a wasteful number, since it uses less digits than its factorization.

18272485440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432 (or 3413 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 18272485440 in words is "eighteen billion, two hundred seventy-two million, four hundred eighty-five thousand, four hundred forty".