16879000320 has 720 divisors, whose sum is σ = 74375273280. Its totient is φ = 3559292928.

The previous prime is 16879000319. The next prime is 16879000331. The reversal of 16879000320 is 2300097861.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9433986 + ... + 9435774.

Almost surely, 2^16879000320 is an apocalyptic number.

16879000320 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 16879000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37187636640).

16879000320 is an abundant number, since it is smaller than the sum of its proper divisors (57496272960).

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

16879000320 is a wasteful number, since it uses less digits than its factorization.

16879000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 16879000320 in words is "sixteen billion, eight hundred seventy-nine million, three hundred twenty", and thus it is an aban number.