16688367360 has 576 divisors, whose sum is σ = 68450780160. Its totient is φ = 3771187200.

The previous prime is 16688367359. The next prime is 16688367379. The reversal of 16688367360 is 6376388661.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 16688367297 and 16688367306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24433579 + ... + 24434261.

It is an arithmetic number, because the mean of its divisors is an integer number (118838160).

Almost surely, 2^16688367360 is an apocalyptic number.

16688367360 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 16688367360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34225390080).

16688367360 is an abundant number, since it is smaller than the sum of its proper divisors (51762412800).

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

16688367360 is a wasteful number, since it uses less digits than its factorization.

16688367360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 16688367360 in words is "sixteen billion, six hundred eighty-eight million, three hundred sixty-seven thousand, three hundred sixty".