16766968800 has 144 divisors (see below), whose sum is σ = 54623503872. Its totient is φ = 4467340800.

The previous prime is 16766968793. The next prime is 16766968891. The reversal of 16766968800 is 886966761.

It is a super-2 number, since 2×16766968800² (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 3768177 + ... + 3772623.

It is an arithmetic number, because the mean of its divisors is an integer number (379329888).

Almost surely, 2^16766968800 is an apocalyptic number.

16766968800 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 16766968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27311751936).

16766968800 is an abundant number, since it is smaller than the sum of its proper divisors (37856535072).

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

16766968800 is a wasteful number, since it uses less digits than its factorization.

16766968800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6041 (or 6028 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 16766968800 in words is "sixteen billion, seven hundred sixty-six million, nine hundred sixty-eight thousand, eight hundred".