18127746000 has 1920 divisors, whose sum is σ = 88914309120. Its totient is φ = 3483648000.

The previous prime is 18127745927. The next prime is 18127746011. The reversal of 18127746000 is 64772181.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 584765985 + ... + 584766015.

It is an arithmetic number, because the mean of its divisors is an integer number (46309536).

Almost surely, 2^18127746000 is an apocalyptic number.

18127746000 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 18127746000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44457154560).

18127746000 is an abundant number, since it is smaller than the sum of its proper divisors (70786563120).

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

18127746000 is a wasteful number, since it uses less digits than its factorization.

18127746000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 18127746000 in words is "eighteen billion, one hundred twenty-seven million, seven hundred forty-six thousand".