18786738240 has 392 divisors, whose sum is σ = 69411052440. Its totient is φ = 4835303424.

The previous prime is 18786738239. The next prime is 18786738253. The reversal of 18786738240 is 4283768781.

It is a happy number.

18786738240 is a `hidden beast` number, since 187 + 86 + 7 + 382 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 386358336 + 18400379904 = 19656^2 + 135648^2 .

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 55 ways as a sum of consecutive naturals, for example, 6763732 + ... + 6766508.

Almost surely, 2^18786738240 is an apocalyptic number.

18786738240 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 18786738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34705526220).

18786738240 is an abundant number, since it is smaller than the sum of its proper divisors (50624314200).

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

18786738240 is an equidigital number, since it uses as much as digits as its factorization.

18786738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 18786738240 in words is "eighteen billion, seven hundred eighty-six million, seven hundred thirty-eight thousand, two hundred forty".