16790309424 has 480 divisors, whose sum is σ = 59710464000. Its totient is φ = 4491293184.

The previous prime is 16790309377. The next prime is 16790309441. The reversal of 16790309424 is 42490309761.

It is a happy number.

16790309424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 16790309424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43838737 + ... + 43839119.

It is an arithmetic number, because the mean of its divisors is an integer number (124396800).

Almost surely, 2^16790309424 is an apocalyptic number.

16790309424 is a gapful number since it is divisible by the number (14) 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 16790309424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29855232000).

16790309424 is an abundant number, since it is smaller than the sum of its proper divisors (42920154576).

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

16790309424 is a wasteful number, since it uses less digits than its factorization.

16790309424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 16790309424 in words is "sixteen billion, seven hundred ninety million, three hundred nine thousand, four hundred twenty-four".