6396771173760 has 2048 divisors, whose sum is σ = 28198139904000. Its totient is φ = 1349983272960.

The previous prime is 6396771173759. The next prime is 6396771173801. The reversal of 6396771173760 is 673711776936.

6396771173760 is a `hidden beast` number, since 6 + 396 + 7 + 7 + 1 + 173 + 76 + 0 = 666.

It is a super-2 number, since 2×6396771173760² (a number of 26 digits) contains 22 as substring.

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 255 ways as a sum of consecutive naturals, for example, 2640019909 + ... + 2640022331.

It is an arithmetic number, because the mean of its divisors is an integer number (13768623000).

Almost surely, 2^{6396771173760} is an apocalyptic number.

6396771173760 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 6396771173760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14099069952000).

6396771173760 is an abundant number, since it is smaller than the sum of its proper divisors (21801368730240).

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

6396771173760 is a wasteful number, since it uses less digits than its factorization.

6396771173760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 42007896, while the sum is 63.

The spelling of 6396771173760 in words is "six trillion, three hundred ninety-six billion, seven hundred seventy-one million, one hundred seventy-three thousand, seven hundred sixty".