1868719036800 has 1152 divisors, whose sum is σ = 7838881315200. Its totient is φ = 386917171200.

The previous prime is 1868719036787. The next prime is 1868719036819. The reversal of 1868719036800 is 86309178681.

It is a super-2 number, since 2×1868719036800² (a number of 25 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 2116329159 + ... + 2116330041.

It is an arithmetic number, because the mean of its divisors is an integer number (6804584475).

Almost surely, 2^{1868719036800} is an apocalyptic number.

1868719036800 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 1868719036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919440657600).

1868719036800 is an abundant number, since it is smaller than the sum of its proper divisors (5970162278400).

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

1868719036800 is a wasteful number, since it uses less digits than its factorization.

1868719036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 57.

The spelling of 1868719036800 in words is "one trillion, eight hundred sixty-eight billion, seven hundred nineteen million, thirty-six thousand, eight hundred".