18272342400 has 384 divisors, whose sum is σ = 66919050240. Its totient is φ = 4351795200.

The previous prime is 18272342399. The next prime is 18272342411. The reversal of 18272342400 is 424327281.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3866439 + ... + 3871161.

It is an arithmetic number, because the mean of its divisors is an integer number (174268360).

Almost surely, 2^18272342400 is an apocalyptic number.

18272342400 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 18272342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33459525120).

18272342400 is an abundant number, since it is smaller than the sum of its proper divisors (48646707840).

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

18272342400 is a wasteful number, since it uses less digits than its factorization.

18272342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4794 (or 4777 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

Adding to 18272342400 its reverse (424327281), we get a palindrome (18696669681).

The spelling of 18272342400 in words is "eighteen billion, two hundred seventy-two million, three hundred forty-two thousand, four hundred".