16863344640 has 432 divisors, whose sum is σ = 60931929240. Its totient is φ = 4478976000.

The previous prime is 16863344621. The next prime is 16863344671. The reversal of 16863344640 is 4644336861.

It is a happy number.

16863344640 is a `hidden beast` number, since 1 + 6 + 8 + 633 + 4 + 4 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 67184515 + ... + 67184765.

Almost surely, 2^16863344640 is an apocalyptic number.

16863344640 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 16863344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30465964620).

16863344640 is an abundant number, since it is smaller than the sum of its proper divisors (44068584600).

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

16863344640 is an frugal number, since it uses more digits than its factorization.

16863344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 16863344640 in words is "sixteen billion, eight hundred sixty-three million, three hundred forty-four thousand, six hundred forty".