18126073728 has 384 divisors, whose sum is σ = 63117600000. Its totient is φ = 5175830016.

The previous prime is 18126073699. The next prime is 18126073729. The reversal of 18126073728 is 82737062181.

18126073728 is a `hidden beast` number, since 1 + 8 + 1 + 2 + 607 + 37 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18126073729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10667823 + ... + 10669521.

It is an arithmetic number, because the mean of its divisors is an integer number (164368750).

Almost surely, 2^18126073728 is an apocalyptic number.

18126073728 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 18126073728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31558800000).

18126073728 is an abundant number, since it is smaller than the sum of its proper divisors (44991526272).

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

18126073728 is an frugal number, since it uses more digits than its factorization.

18126073728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 18126073728 in words is "eighteen billion, one hundred twenty-six million, seventy-three thousand, seven hundred twenty-eight".