6773408323968 has 512 divisors, whose sum is σ = 21680143672320. Its totient is φ = 1846480896000.

The previous prime is 6773408323951. The next prime is 6773408323987. The reversal of 6773408323968 is 8693238043776.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 6773408323899 and 6773408323908.

It is a congruent number.

It is an unprimeable number.

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, 439453030 + ... + 439468442.

It is an arithmetic number, because the mean of its divisors is an integer number (42344030610).

Almost surely, 2^{6773408323968} 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 6773408323968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10840071836160).

6773408323968 is an abundant number, since it is smaller than the sum of its proper divisors (14906735348352).

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

6773408323968 is a wasteful number, since it uses less digits than its factorization.

6773408323968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15658 (or 15646 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 66.

The spelling of 6773408323968 in words is "six trillion, seven hundred seventy-three billion, four hundred eight million, three hundred twenty-three thousand, nine hundred sixty-eight".