6779141765760 has 512 divisors, whose sum is σ = 27994850150400. Its totient is φ = 1355043520512.

The previous prime is 6779141765719. The next prime is 6779141765761. The reversal of 6779141765760 is 675671419776.

It is a super-2 number, since 2×6779141765760² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6779141765691 and 6779141765700.

It is not an unprimeable number, because it can be changed into a prime (6779141765761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2298627 + ... + 4340733.

It is an arithmetic number, because the mean of its divisors is an integer number (54677441700).

Almost surely, 2^{6779141765760} is an apocalyptic number.

6779141765760 is a gapful number since it is divisible by the number (60) 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 6779141765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13997425075200).

6779141765760 is an abundant number, since it is smaller than the sum of its proper divisors (21215708384640).

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

6779141765760 is a wasteful number, since it uses less digits than its factorization.

6779141765760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042168 (or 2042156 counting only the distinct ones).

The product of its (nonzero) digits is 93350880, while the sum is 66.

The spelling of 6779141765760 in words is "six trillion, seven hundred seventy-nine billion, one hundred forty-one million, seven hundred sixty-five thousand, seven hundred sixty".