16765768080 has 60 divisors (see below), whose sum is σ = 56305040220. Its totient is φ = 4470871296.

The previous prime is 16765768073. The next prime is 16765768081. The reversal of 16765768080 is 8086756761.

16765768080 is a `hidden beast` number, since 1 + 67 + 6 + 576 + 8 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11788747776 + 4977020304 = 108576^2 + 70548^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×16765768080³ (a number of 32 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (16765768081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11642175 + ... + 11643614.

It is an arithmetic number, because the mean of its divisors is an integer number (938417337).

Almost surely, 2^16765768080 is an apocalyptic number.

16765768080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16765768080 is an abundant number, since it is smaller than the sum of its proper divisors (39539272140).

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

16765768080 is a wasteful number, since it uses less digits than its factorization.

16765768080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23285808 (or 23285799 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 16765768080 in words is "sixteen billion, seven hundred sixty-five million, seven hundred sixty-eight thousand, eighty".