1836868723200 has 1800 divisors, whose sum is σ = 7967881736100. Its totient is φ = 403607715840.

The previous prime is 1836868723187. The next prime is 1836868723223. The reversal of 1836868723200 is 23278686381.

1836868723200 is a `hidden beast` number, since 1 + 8 + 368 + 6 + 8 + 72 + 3 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1155332618496 + 681536104704 = 1074864^2 + 825552^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 8021260686 + ... + 8021260914.

Almost surely, 2^{1836868723200} is an apocalyptic number.

1836868723200 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 1836868723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983940868050).

1836868723200 is an abundant number, since it is smaller than the sum of its proper divisors (6131013012900).

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

1836868723200 is an equidigital number, since it uses as much as digits as its factorization.

1836868723200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1836868723200 in words is "one trillion, eight hundred thirty-six billion, eight hundred sixty-eight million, seven hundred twenty-three thousand, two hundred".