16796759760 has 720 divisors, whose sum is σ = 66791582208. Its totient is φ = 3744921600.

The previous prime is 16796759701. The next prime is 16796759761. The reversal of 16796759760 is 6795769761.

16796759760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×16796759760² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16796759761) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 390622299 + ... + 390622341.

Almost surely, 2^16796759760 is an apocalyptic number.

16796759760 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 16796759760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33395791104).

16796759760 is an abundant number, since it is smaller than the sum of its proper divisors (49994822448).

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

16796759760 is a wasteful number, since it uses less digits than its factorization.

16796759760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 30005640, while the sum is 63.

The spelling of 16796759760 in words is "sixteen billion, seven hundred ninety-six million, seven hundred fifty-nine thousand, seven hundred sixty".