6776382756752 has 240 divisors, whose sum is σ = 15615062572032. Its totient is φ = 2839951054080.

The previous prime is 6776382756719. The next prime is 6776382756791. The reversal of 6776382756752 is 2576572836776.

It is a Smith number, since the sum of its digits (71) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 2858026127 + ... + 2858028497.

Almost surely, 2^{6776382756752} 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 6776382756752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7807531286016).

6776382756752 is an abundant number, since it is smaller than the sum of its proper divisors (8838679815280).

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

6776382756752 is a wasteful number, since it uses less digits than its factorization.

6776382756752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 2893 counting only the distinct ones).

The product of its digits is 1244678400, while the sum is 71.

The spelling of 6776382756752 in words is "six trillion, seven hundred seventy-six billion, three hundred eighty-two million, seven hundred fifty-six thousand, seven hundred fifty-two".