6755664984768 has 1008 divisors, whose sum is σ = 24080138784000. Its totient is φ = 1771206635520.

The previous prime is 6755664984713. The next prime is 6755664984821. The reversal of 6755664984768 is 8674894665576.

6755664984768 is a `hidden beast` number, since 6 + 7 + 5 + 5 + 66 + 498 + 4 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6629700163 + ... + 6629701181.

Almost surely, 2^{6755664984768} 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 6755664984768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12040069392000).

6755664984768 is an abundant number, since it is smaller than the sum of its proper divisors (17324473799232).

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

6755664984768 is a wasteful number, since it uses less digits than its factorization.

6755664984768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1150 counting only the distinct ones).

The product of its digits is 14631321600, while the sum is 81.

The spelling of 6755664984768 in words is "six trillion, seven hundred fifty-five billion, six hundred sixty-four million, nine hundred eighty-four thousand, seven hundred sixty-eight".