16681680000 has 320 divisors, whose sum is σ = 61530928800. Its totient is φ = 4447872000.

The previous prime is 16681679977. The next prime is 16681680079. The reversal of 16681680000 is 8618661.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2156139 + ... + 2163861.

Almost surely, 2^16681680000 is an apocalyptic number.

16681680000 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 16681680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30765464400).

16681680000 is an abundant number, since it is smaller than the sum of its proper divisors (44849248800).

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

16681680000 is an frugal number, since it uses more digits than its factorization.

16681680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7766 (or 7733 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 16681680000 in words is "sixteen billion, six hundred eighty-one million, six hundred eighty thousand".