16417795968 has 768 divisors, whose sum is σ = 61590896640. Its totient is φ = 4087480320.

The previous prime is 16417795967. The next prime is 16417796027. The reversal of 16417795968 is 86959771461.

16417795968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16417795963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129273921 + ... + 129274047.

It is an arithmetic number, because the mean of its divisors is an integer number (80196480).

Almost surely, 2^16417795968 is an apocalyptic number.

16417795968 is a gapful number since it is divisible by the number (18) 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 16417795968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30795448320).

16417795968 is an abundant number, since it is smaller than the sum of its proper divisors (45173100672).

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

16417795968 is a wasteful number, since it uses less digits than its factorization.

16417795968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 220 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 63.

The spelling of 16417795968 in words is "sixteen billion, four hundred seventeen million, seven hundred ninety-five thousand, nine hundred sixty-eight".