18273340800 has 1920 divisors, whose sum is σ = 86774133600. Its totient is φ = 3715891200.

The previous prime is 18273340793. The next prime is 18273340871. The reversal of 18273340800 is 804337281.

18273340800 is a `hidden beast` number, since 182 + 73 + 3 + 408 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 (11) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 630115186 + ... + 630115214.

Almost surely, 2^18273340800 is an apocalyptic number.

18273340800 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 18273340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43387066800).

18273340800 is an abundant number, since it is smaller than the sum of its proper divisors (68500792800).

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

18273340800 is a wasteful number, since it uses less digits than its factorization.

18273340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 18273340800 in words is "eighteen billion, two hundred seventy-three million, three hundred forty thousand, eight hundred".