1868400000 has 384 divisors, whose sum is σ = 6932368800. Its totient is φ = 495360000.

The previous prime is 1868399993. The next prime is 1868400013. The reversal of 1868400000 is 48681.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10799914 + ... + 10800086.

Almost surely, 2^1868400000 is an apocalyptic number.

1868400000 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 1868400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3466184400).

1868400000 is an abundant number, since it is smaller than the sum of its proper divisors (5063968800).

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

1868400000 is an frugal number, since it uses more digits than its factorization.

1868400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1868400000 is about 43224.9927703869. The cubic root of 1868400000 is about 1231.6574917899.

Adding to 1868400000 its reverse (48681), we get a palindrome (1868448681).

The spelling of 1868400000 in words is "one billion, eight hundred sixty-eight million, four hundred thousand".