18004377600 has 816 divisors, whose sum is σ = 74112786240. Its totient is φ = 4246732800.

The previous prime is 18004377571. The next prime is 18004377613. The reversal of 18004377600 is 677340081.

18004377600 is a `hidden beast` number, since 1 + 8 + 0 + 0 + 43 + 7 + 7 + 600 = 666.

It is a super-2 number, since 2×18004377600² (a number of 21 digits) contains 22 as substring.

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 (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 486604782 + ... + 486604818.

Almost surely, 2^18004377600 is an apocalyptic number.

18004377600 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 18004377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37056393120).

18004377600 is an abundant number, since it is smaller than the sum of its proper divisors (56108408640).

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

18004377600 is an equidigital number, since it uses as much as digits as its factorization.

18004377600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 18004377600 in words is "eighteen billion, four million, three hundred seventy-seven thousand, six hundred".