6758763648 has 192 divisors, whose sum is σ = 22491342720. Its totient is φ = 1782466560.

The previous prime is 6758763643. The next prime is 6758763667. The reversal of 6758763648 is 8463678576.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 6758763591 and 6758763600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6758763643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230793 + ... + 258423.

It is an arithmetic number, because the mean of its divisors is an integer number (117142410).

Almost surely, 2^6758763648 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 6758763648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11245671360).

6758763648 is an abundant number, since it is smaller than the sum of its proper divisors (15732579072).

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

6758763648 is a wasteful number, since it uses less digits than its factorization.

6758763648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27675 (or 27656 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 60.

The square root of 6758763648 is about 82211.7001892066. The cubic root of 6758763648 is about 1890.6991103661.

The spelling of 6758763648 in words is "six billion, seven hundred fifty-eight million, seven hundred sixty-three thousand, six hundred forty-eight".