6755319648 has 720 divisors, whose sum is σ = 26571216672. Its totient is φ = 1642291200.

The previous prime is 6755319607. The next prime is 6755319661. The reversal of 6755319648 is 8469135576.

6755319648 is a `hidden beast` number, since 67 + 5 + 531 + 9 + 6 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6755319594 and 6755319603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 37322118 + ... + 37322298.

Almost surely, 2^6755319648 is an apocalyptic number.

6755319648 is a gapful number since it is divisible by the number (68) 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 6755319648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13285608336).

6755319648 is an abundant number, since it is smaller than the sum of its proper divisors (19815897024).

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

6755319648 is a wasteful number, since it uses less digits than its factorization.

6755319648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 221 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 6755319648 is about 82190.7515965148. The cubic root of 6755319648 is about 1890.3779138474.

The spelling of 6755319648 in words is "six billion, seven hundred fifty-five million, three hundred nineteen thousand, six hundred forty-eight".