16269216768 has 330 divisors, whose sum is σ = 56529108636. Its totient is φ = 4647186432.

The previous prime is 16269216737. The next prime is 16269216779. The reversal of 16269216768 is 86761296261.

16269216768 is a `hidden beast` number, since 1 + 626 + 9 + 2 + 1 + 6 + 7 + 6 + 8 = 666.

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

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

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 29 ways as a sum of consecutive naturals, for example, 4062255 + ... + 4066257.

Almost surely, 2^16269216768 is an apocalyptic number.

16269216768 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 16269216768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28264554318).

16269216768 is an abundant number, since it is smaller than the sum of its proper divisors (40259891868).

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

16269216768 is an equidigital number, since it uses as much as digits as its factorization.

16269216768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049 (or 4015 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 16269216768 in words is "sixteen billion, two hundred sixty-nine million, two hundred sixteen thousand, seven hundred sixty-eight".