16768612224 has 480 divisors, whose sum is σ = 62540616600. Its totient is φ = 4420749312.

The previous prime is 16768612213. The next prime is 16768612229. The reversal of 16768612224 is 42221686761.

16768612224 is a `hidden beast` number, since 1 + 6 + 7 + 6 + 8 + 612 + 2 + 24 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16768612224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16768612229) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6603147 + ... + 6605685.

Almost surely, 2^16768612224 is an apocalyptic number.

16768612224 is a gapful number since it is divisible by the number (14) 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 16768612224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31270308300).

16768612224 is an abundant number, since it is smaller than the sum of its proper divisors (45772004376).

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

16768612224 is a wasteful number, since it uses less digits than its factorization.

16768612224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 2564 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 16768612224 in words is "sixteen billion, seven hundred sixty-eight million, six hundred twelve thousand, two hundred twenty-four".