16809466567680 has 1408 divisors, whose sum is σ = 67846632652800. Its totient is φ = 3920838524928.

The previous prime is 16809466567613. The next prime is 16809466567693. The reversal of 16809466567680 is 8676566490861.

16809466567680 is a `hidden beast` number, since 1 + 6 + 80 + 9 + 466 + 5 + 6 + 7 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 16809466567599 and 16809466567608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2366527009 + ... + 2366534111.

Almost surely, 2^{16809466567680} is an apocalyptic number.

16809466567680 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 16809466567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33923316326400).

16809466567680 is an abundant number, since it is smaller than the sum of its proper divisors (51037166085120).

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

16809466567680 is a wasteful number, since it uses less digits than its factorization.

16809466567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7226 (or 7202 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 16809466567680 in words is "sixteen trillion, eight hundred nine billion, four hundred sixty-six million, five hundred sixty-seven thousand, six hundred eighty".