16709736960 has 1080 divisors, whose sum is σ = 72781224516. Its totient is φ = 3530096640.

The previous prime is 16709736947. The next prime is 16709736961. The reversal of 16709736960 is 6963790761.

16709736960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 14712719616 + 1997017344 = 121296^2 + 44688^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16709736897 and 16709736906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16709736961) 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 107 ways as a sum of consecutive naturals, for example, 407554540 + ... + 407554580.

Almost surely, 2^16709736960 is an apocalyptic number.

16709736960 is a gapful number since it is divisible by the number (10) 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 16709736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36390612258).

16709736960 is an abundant number, since it is smaller than the sum of its proper divisors (56071487556).

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

16709736960 is a wasteful number, since it uses less digits than its factorization.

16709736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The spelling of 16709736960 in words is "sixteen billion, seven hundred nine million, seven hundred thirty-six thousand, nine hundred sixty".