6755760675576 has 144 divisors (see below), whose sum is σ = 20135015071080. Its totient is φ = 2044797955200.

The previous prime is 6755760675487. The next prime is 6755760675589.

It is a happy number.

6755760675576 is a `hidden beast` number, since 6 + 7 + 5 + 5 + 7 + 6 + 0 + 67 + 557 + 6 = 666.

6755760675576 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6976791 + ... + 7885881.

Almost surely, 2^{6755760675576} is an apocalyptic number.

6755760675576 is a gapful number since it is divisible by the number (66) 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 6755760675576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10067507535540).

6755760675576 is an abundant number, since it is smaller than the sum of its proper divisors (13379254395504).

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

6755760675576 is a wasteful number, since it uses less digits than its factorization.

6755760675576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909978 (or 909960 counting only the distinct ones).

The product of its (nonzero) digits is 1944810000, while the sum is 72.

The spelling of 6755760675576 in words is "six trillion, seven hundred fifty-five billion, seven hundred sixty million, six hundred seventy-five thousand, five hundred seventy-six".