16684170673440 has 384 divisors, whose sum is σ = 56401897563648. Its totient is φ = 4130844180480.

The previous prime is 16684170673363. The next prime is 16684170673447. The reversal of 16684170673440 is 4437607148661.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (16684170673447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 246128832 + ... + 246196608.

It is an arithmetic number, because the mean of its divisors is an integer number (146879941572).

Almost surely, 2^{16684170673440} is an apocalyptic number.

16684170673440 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 16684170673440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28200948781824).

16684170673440 is an abundant number, since it is smaller than the sum of its proper divisors (39717726890208).

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

16684170673440 is a wasteful number, since it uses less digits than its factorization.

16684170673440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68220 (or 68212 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 57.

The spelling of 16684170673440 in words is "sixteen trillion, six hundred eighty-four billion, one hundred seventy million, six hundred seventy-three thousand, four hundred forty".