18742291200 has 324 divisors, whose sum is σ = 67656404088. Its totient is φ = 4949606400.

The previous prime is 18742291193. The next prime is 18742291213. The reversal of 18742291200 is 219224781.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6161680 + ... + 6164720.

It is an arithmetic number, because the mean of its divisors is an integer number (208816062).

Almost surely, 2^18742291200 is an apocalyptic number.

18742291200 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 18742291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33828202044).

18742291200 is an abundant number, since it is smaller than the sum of its proper divisors (48914112888).

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

18742291200 is a wasteful number, since it uses less digits than its factorization.

18742291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3180 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 18742291200 in words is "eighteen billion, seven hundred forty-two million, two hundred ninety-one thousand, two hundred".