16966721664 has 96 divisors (see below), whose sum is σ = 48894725100. Its totient is φ = 5647325184.

The previous prime is 16966721663. The next prime is 16966721677. The reversal of 16966721664 is 46612766961.

It can be written as a sum of positive squares in 2 ways, for example, as 16902080064 + 64641600 = 130008^2 + 8040^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 16966721664.

It is not an unprimeable number, because it can be changed into a prime (16966721663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 806382 + ... + 827154.

Almost surely, 2^16966721664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16966721664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24447362550).

16966721664 is an abundant number, since it is smaller than the sum of its proper divisors (31928003436).

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

16966721664 is a wasteful number, since it uses less digits than its factorization.

16966721664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21502 (or 21487 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 16966721664 in words is "sixteen billion, nine hundred sixty-six million, seven hundred twenty-one thousand, six hundred sixty-four".