16761765648 has 80 divisors (see below), whose sum is σ = 45613152000. Its totient is φ = 5289367680.

The previous prime is 16761765613. The next prime is 16761765659. The reversal of 16761765648 is 84656716761.

16761765648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×16761765648³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1426903 + ... + 1438601.

It is an arithmetic number, because the mean of its divisors is an integer number (570164400).

Almost surely, 2^16761765648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16761765648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22806576000).

16761765648 is an abundant number, since it is smaller than the sum of its proper divisors (28851386352).

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

16761765648 is a wasteful number, since it uses less digits than its factorization.

16761765648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13300 (or 13294 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 57.

The spelling of 16761765648 in words is "sixteen billion, seven hundred sixty-one million, seven hundred sixty-five thousand, six hundred forty-eight".