1868568000 has 448 divisors, whose sum is σ = 6829909632. Its totient is φ = 447283200.

The previous prime is 1868567963. The next prime is 1868568007. The reversal of 1868568000 is 8658681.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1868568007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 16535944 + ... + 16536056.

It is an arithmetic number, because the mean of its divisors is an integer number (15245334).

Almost surely, 2^1868568000 is an apocalyptic number.

1868568000 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 1868568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414954816).

1868568000 is an abundant number, since it is smaller than the sum of its proper divisors (4961341632).

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

1868568000 is a wasteful number, since it uses less digits than its factorization.

1868568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 1868568000 is about 43226.9360468678. The cubic root of 1868568000 is about 1231.6944061296.

The spelling of 1868568000 in words is "one billion, eight hundred sixty-eight million, five hundred sixty-eight thousand".