16679529360 has 180 divisors, whose sum is σ = 60656192532. Its totient is φ = 4105700352.

The previous prime is 16679529359. The next prime is 16679529397. The reversal of 16679529360 is 6392597661.

16679529360 is a `hidden beast` number, since 16 + 6 + 79 + 529 + 36 + 0 = 666.

16679529360 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 6 ways, for example, as 8691459984 + 7988069376 = 93228^2 + 89376^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×16679529360² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16679529297 and 16679529306.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 53142 + ... + 190218.

Almost surely, 2^16679529360 is an apocalyptic number.

16679529360 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 16679529360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30328096266).

16679529360 is an abundant number, since it is smaller than the sum of its proper divisors (43976663172).

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

16679529360 is a wasteful number, since it uses less digits than its factorization.

16679529360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137122 (or 137100 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 16679529360 in words is "sixteen billion, six hundred seventy-nine million, five hundred twenty-nine thousand, three hundred sixty".