16768684800 has 540 divisors, whose sum is σ = 70874154736. Its totient is φ = 3832012800.

The previous prime is 16768684799. The next prime is 16768684817. The reversal of 16768684800 is 848686761.

16768684800 is a `hidden beast` number, since 16 + 76 + 86 + 8 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3626490 + ... + 3631110.

Almost surely, 2^16768684800 is an apocalyptic number.

16768684800 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 16768684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35437077368).

16768684800 is an abundant number, since it is smaller than the sum of its proper divisors (54105469936).

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

16768684800 is an equidigital number, since it uses as much as digits as its factorization.

16768684800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4666 (or 4638 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 16768684800 in words is "sixteen billion, seven hundred sixty-eight million, six hundred eighty-four thousand, eight hundred".