16984173680 has 80 divisors (see below), whose sum is σ = 41839688160. Its totient is φ = 6389661696.

The previous prime is 16984173637. The next prime is 16984173691. The reversal of 16984173680 is 8637148961.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2535776 + ... + 2542464.

It is an arithmetic number, because the mean of its divisors is an integer number (522996102).

Almost surely, 2^16984173680 is an apocalyptic number.

16984173680 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 16984173680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20919844080).

16984173680 is an abundant number, since it is smaller than the sum of its proper divisors (24855514480).

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

16984173680 is a wasteful number, since it uses less digits than its factorization.

16984173680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8586 (or 8580 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 53.

The spelling of 16984173680 in words is "sixteen billion, nine hundred eighty-four million, one hundred seventy-three thousand, six hundred eighty".