16326800640 has 252 divisors, whose sum is σ = 58638212724. Its totient is φ = 4353564672.

The previous prime is 16326800587. The next prime is 16326800641. The reversal of 16326800640 is 4600862361.

16326800640 is a `hidden beast` number, since 1 + 6 + 3 + 2 + 6 + 8 + 0 + 0 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1903751424 + 14423049216 = 43632^2 + 120096^2 .

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 = 16326800595 and 16326800604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16326800641) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 924372 + ... + 941868.

Almost surely, 2^16326800640 is an apocalyptic number.

16326800640 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 16326800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29319106362).

16326800640 is an abundant number, since it is smaller than the sum of its proper divisors (42311412084).

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

16326800640 is an frugal number, since it uses more digits than its factorization.

16326800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17536 (or 17507 counting only the distinct ones).

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

The spelling of 16326800640 in words is "sixteen billion, three hundred twenty-six million, eight hundred thousand, six hundred forty".