6808912201728 has 1296 divisors, whose sum is σ = 25587960652800. Its totient is φ = 1736621752320.

The previous prime is 6808912201687. The next prime is 6808912201733. The reversal of 6808912201728 is 8271022198086.

It is a super-2 number, since 2×6808912201728² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4731696433 + ... + 4731697871.

It is an arithmetic number, because the mean of its divisors is an integer number (19743796800).

Almost surely, 2^{6808912201728} 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 6808912201728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12793980326400).

6808912201728 is an abundant number, since it is smaller than the sum of its proper divisors (18779048451072).

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

6808912201728 is a wasteful number, since it uses less digits than its factorization.

6808912201728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

It can be divided in two parts, 6808912 and 201728, that added together give a triangular number (7010640 = T₃₇₄₄).

The spelling of 6808912201728 in words is "six trillion, eight hundred eight billion, nine hundred twelve million, two hundred one thousand, seven hundred twenty-eight".