16725634688 has 128 divisors (see below), whose sum is σ = 40538880000. Its totient is φ = 6709985280.

The previous prime is 16725634619. The next prime is 16725634699. The reversal of 16725634688 is 88643652761.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2906438 + ... + 2912186.

It is an arithmetic number, because the mean of its divisors is an integer number (316710000).

Almost surely, 2^16725634688 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 16725634688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20269440000).

16725634688 is an abundant number, since it is smaller than the sum of its proper divisors (23813245312).

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

16725634688 is a wasteful number, since it uses less digits than its factorization.

16725634688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5978 (or 5966 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 56.

The spelling of 16725634688 in words is "sixteen billion, seven hundred twenty-five million, six hundred thirty-four thousand, six hundred eighty-eight".