1863540000 has 960 divisors, whose sum is σ = 8502278400. Its totient is φ = 387072000.

The previous prime is 1863539999. The next prime is 1863540011. The reversal of 1863540000 is 453681.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 64259986 + ... + 64260014.

It is an arithmetic number, because the mean of its divisors is an integer number (8856540).

Almost surely, 2^1863540000 is an apocalyptic number.

1863540000 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 1863540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251139200).

1863540000 is an abundant number, since it is smaller than the sum of its proper divisors (6638738400).

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

1863540000 is a wasteful number, since it uses less digits than its factorization.

1863540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1863540000 is about 43168.7386890097. The cubic root of 1863540000 is about 1230.5886533950.

Adding to 1863540000 its reverse (453681), we get a palindrome (1863993681).

The spelling of 1863540000 in words is "one billion, eight hundred sixty-three million, five hundred forty thousand".