1868736000 has 160 divisors (see below), whose sum is σ = 6213718368. Its totient is φ = 498278400.

The previous prime is 1868735987. The next prime is 1868736019. The reversal of 1868736000 is 6378681.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 1868736000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187134 + ... + 196866.

Almost surely, 2^1868736000 is an apocalyptic number.

1868736000 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 1868736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106859184).

1868736000 is an abundant number, since it is smaller than the sum of its proper divisors (4344982368).

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

1868736000 is an frugal number, since it uses more digits than its factorization.

1868736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9769 (or 9743 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1868736000 is about 43228.8792359922. The cubic root of 1868736000 is about 1231.7313182568.

The spelling of 1868736000 in words is "one billion, eight hundred sixty-eight million, seven hundred thirty-six thousand".