16814407680 has 640 divisors, whose sum is σ = 69274164960. Its totient is φ = 3822059520.

The previous prime is 16814407663. The next prime is 16814407717. The reversal of 16814407680 is 8670441861.

16814407680 is a `hidden beast` number, since 1 + 68 + 1 + 440 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92897190 + ... + 92897370.

Almost surely, 2^16814407680 is an apocalyptic number.

16814407680 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 16814407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34637082480).

16814407680 is an abundant number, since it is smaller than the sum of its proper divisors (52459757280).

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

16814407680 is an frugal number, since it uses more digits than its factorization.

16814407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 16814407680 in words is "sixteen billion, eight hundred fourteen million, four hundred seven thousand, six hundred eighty".