18073274400 has 216 divisors, whose sum is σ = 64116771264. Its totient is φ = 4790361600.

The previous prime is 18073274399. The next prime is 18073274441. The reversal of 18073274400 is 447237081.

It is a happy number.

18073274400 is a `hidden beast` number, since 180 + 7 + 3 + 2 + 74 + 400 = 666.

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, 1194885 + ... + 1209915.

It is an arithmetic number, because the mean of its divisors is an integer number (296836904).

Almost surely, 2^18073274400 is an apocalyptic number.

18073274400 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 18073274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32058385632).

18073274400 is an abundant number, since it is smaller than the sum of its proper divisors (46043496864).

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

18073274400 is a wasteful number, since it uses less digits than its factorization.

18073274400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15224 (or 15208 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 18073274400 in words is "eighteen billion, seventy-three million, two hundred seventy-four thousand, four hundred".