16368672768 has 448 divisors, whose sum is σ = 54921058560. Its totient is φ = 4227858432.

The previous prime is 16368672737. The next prime is 16368672769. The reversal of 16368672768 is 86727686361.

It is a tau number, because it is divible by the number of its divisors (448).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16368672769) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 84811680 + ... + 84811872.

Almost surely, 2^16368672768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16368672768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27460529280).

16368672768 is an abundant number, since it is smaller than the sum of its proper divisors (38552385792).

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

16368672768 is a wasteful number, since it uses less digits than its factorization.

16368672768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 251 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 60.

The spelling of 16368672768 in words is "sixteen billion, three hundred sixty-eight million, six hundred seventy-two thousand, seven hundred sixty-eight".