16676681760 has 576 divisors, whose sum is σ = 65264838912. Its totient is φ = 3999891456.

The previous prime is 16676681759. The next prime is 16676681837. The reversal of 16676681760 is 6718667661.

It is a super-2 number, since 2×16676681760² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 16676681697 and 16676681706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15201532 + ... + 15202628.

It is an arithmetic number, because the mean of its divisors is an integer number (113307012).

Almost surely, 2^16676681760 is an apocalyptic number.

16676681760 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 16676681760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32632419456).

16676681760 is an abundant number, since it is smaller than the sum of its proper divisors (48588157152).

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

16676681760 is a wasteful number, since it uses less digits than its factorization.

16676681760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 16676681760 in words is "sixteen billion, six hundred seventy-six million, six hundred eighty-one thousand, seven hundred sixty".