16806928320 has 504 divisors, whose sum is σ = 71554762656. Its totient is φ = 3545358336.

The previous prime is 16806928319. The next prime is 16806928381. The reversal of 16806928320 is 2382960861.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3404574 + ... + 3409506.

Almost surely, 2^16806928320 is an apocalyptic number.

16806928320 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 16806928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35777381328).

16806928320 is an abundant number, since it is smaller than the sum of its proper divisors (54747834336).

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

16806928320 is a wasteful number, since it uses less digits than its factorization.

16806928320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4989 (or 4963 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 16806928320 in words is "sixteen billion, eight hundred six million, nine hundred twenty-eight thousand, three hundred twenty".