16001724480768 has 432 divisors, whose sum is σ = 50705601819600. Its totient is φ = 4823470964736.

The previous prime is 16001724480733. The next prime is 16001724480769. The reversal of 16001724480768 is 86708442710061.

16001724480768 is a `hidden beast` number, since 1 + 60 + 0 + 1 + 72 + 448 + 0 + 76 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 314801789184 + 15686922691584 = 561072^2 + 3960672^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16001724480769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325763346 + ... + 325812462.

Almost surely, 2^{16001724480768} is an apocalyptic number.

16001724480768 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 16001724480768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25352800909800).

16001724480768 is an abundant number, since it is smaller than the sum of its proper divisors (34703877338832).

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

16001724480768 is a wasteful number, since it uses less digits than its factorization.

16001724480768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49374 (or 49357 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 16001724480768 in words is "sixteen trillion, one billion, seven hundred twenty-four million, four hundred eighty thousand, seven hundred sixty-eight".