16806717564 has 144 divisors (see below), whose sum is σ = 49194784800. Its totient is φ = 4426458624.

The previous prime is 16806717541. The next prime is 16806717637. The reversal of 16806717564 is 46571760861.

It is a happy number.

16806717564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 9393582 + ... + 9395370.

It is an arithmetic number, because the mean of its divisors is an integer number (341630450).

Almost surely, 2^16806717564 is an apocalyptic number.

16806717564 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 16806717564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24597392400).

16806717564 is an abundant number, since it is smaller than the sum of its proper divisors (32388067236).

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

16806717564 is a wasteful number, since it uses less digits than its factorization.

16806717564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 16806717564 in words is "sixteen billion, eight hundred six million, seven hundred seventeen thousand, five hundred sixty-four".