16733676960 has 1728 divisors, whose sum is σ = 82875985920. Its totient is φ = 2976030720.

The previous prime is 16733676959. The next prime is 16733676989. The reversal of 16733676960 is 6967633761.

16733676960 is a `hidden beast` number, since 167 + 3 + 367 + 69 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 16733676897 and 16733676906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 356035657 + ... + 356035703.

It is an arithmetic number, because the mean of its divisors is an integer number (47960640).

Almost surely, 2^16733676960 is an apocalyptic number.

16733676960 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 16733676960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41437992960).

16733676960 is an abundant number, since it is smaller than the sum of its proper divisors (66142308960).

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

16733676960 is a wasteful number, since it uses less digits than its factorization.

16733676960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 16733676960 in words is "sixteen billion, seven hundred thirty-three million, six hundred seventy-six thousand, nine hundred sixty".