18730773032400 has 1440 divisors, whose sum is σ = 80796328704000. Its totient is φ = 3950531481600.

The previous prime is 18730773032383. The next prime is 18730773032429. The reversal of 18730773032400 is 423037703781.

18730773032400 is a `hidden beast` number, since 1 + 8 + 7 + 30 + 77 + 303 + 240 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1946453989 + ... + 1946463611.

It is an arithmetic number, because the mean of its divisors is an integer number (56108561600).

Almost surely, 2^{18730773032400} is an apocalyptic number.

18730773032400 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 18730773032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40398164352000).

18730773032400 is an abundant number, since it is smaller than the sum of its proper divisors (62065555671600).

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

18730773032400 is a wasteful number, since it uses less digits than its factorization.

18730773032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9889 (or 9875 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 18730773032400 in words is "eighteen trillion, seven hundred thirty billion, seven hundred seventy-three million, thirty-two thousand, four hundred".