1863613440 has 704 divisors, whose sum is σ = 7675758720. Its totient is φ = 424673280.

The previous prime is 1863613417. The next prime is 1863613459. The reversal of 1863613440 is 443163681.

It is a happy number.

1863613440 is a `hidden beast` number, since 1 + 8 + 636 + 13 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1863613395 and 1863613404.

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 63 ways as a sum of consecutive naturals, for example, 30551010 + ... + 30551070.

Almost surely, 2^1863613440 is an apocalyptic number.

1863613440 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 1863613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3837879360).

1863613440 is an abundant number, since it is smaller than the sum of its proper divisors (5812145280).

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

1863613440 is a wasteful number, since it uses less digits than its factorization.

1863613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1863613440 is about 43169.5892961701. The cubic root of 1863613440 is about 1230.6048185508.

The spelling of 1863613440 in words is "one billion, eight hundred sixty-three million, six hundred thirteen thousand, four hundred forty".