6728171782080 has 896 divisors, whose sum is σ = 26634643200000. Its totient is φ = 1404049489920.

The previous prime is 6728171782069. The next prime is 6728171782081. The reversal of 6728171782080 is 802871718276.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 6728171782080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6728171782081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2447496546 + ... + 2447499294.

Almost surely, 2^{6728171782080} is an apocalyptic number.

6728171782080 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 6728171782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13317321600000).

6728171782080 is an abundant number, since it is smaller than the sum of its proper divisors (19906471417920).

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

6728171782080 is a wasteful number, since it uses less digits than its factorization.

6728171782080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3485 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 57.

The spelling of 6728171782080 in words is "six trillion, seven hundred twenty-eight billion, one hundred seventy-one million, seven hundred eighty-two thousand, eighty".