16768682784 has 144 divisors (see below), whose sum is σ = 55610755200. Its totient is φ = 4791024000.

The previous prime is 16768682767. The next prime is 16768682813. The reversal of 16768682784 is 48728686761.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13909 + ... + 183659.

It is an arithmetic number, because the mean of its divisors is an integer number (386185800).

Almost surely, 2^16768682784 is an apocalyptic number.

16768682784 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 16768682784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27805377600).

16768682784 is an abundant number, since it is smaller than the sum of its proper divisors (38842072416).

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

16768682784 is a wasteful number, since it uses less digits than its factorization.

16768682784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169788 (or 169763 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The spelling of 16768682784 in words is "sixteen billion, seven hundred sixty-eight million, six hundred eighty-two thousand, seven hundred eighty-four".