16760604672 has 768 divisors, whose sum is σ = 62270208000. Its totient is φ = 4347592704.

The previous prime is 16760604661. The next prime is 16760604673. The reversal of 16760604672 is 27640606761.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16760604673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 316237798 + ... + 316237850.

It is an arithmetic number, because the mean of its divisors is an integer number (81081000).

Almost surely, 2^16760604672 is an apocalyptic number.

16760604672 is a gapful number since it is divisible by the number (12) 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 16760604672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31135104000).

16760604672 is an abundant number, since it is smaller than the sum of its proper divisors (45509603328).

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

16760604672 is a wasteful number, since it uses less digits than its factorization.

16760604672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 16760604672 in words is "sixteen billion, seven hundred sixty million, six hundred four thousand, six hundred seventy-two".