18627042728448 has 2880 divisors, whose sum is σ = 75672489150720. Its totient is φ = 4496228352000.

The previous prime is 18627042728443. The next prime is 18627042728513. The reversal of 18627042728448 is 84482724072681.

18627042728448 is a `hidden beast` number, since 1 + 8 + 6 + 270 + 42 + 7 + 284 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (18627042728443) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 77290633608 + ... + 77290633848.

It is an arithmetic number, because the mean of its divisors is an integer number (26275169844).

Almost surely, 2^{18627042728448} is an apocalyptic number.

18627042728448 is a gapful number since it is divisible by the number (18) 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 18627042728448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37836244575360).

18627042728448 is an abundant number, since it is smaller than the sum of its proper divisors (57045446422272).

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

18627042728448 is a wasteful number, since it uses less digits than its factorization.

18627042728448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 77070336, while the sum is 63.

The spelling of 18627042728448 in words is "eighteen trillion, six hundred twenty-seven billion, forty-two million, seven hundred twenty-eight thousand, four hundred forty-eight".