6827978041600 has 243 divisors, whose sum is σ = 17139037313307. Its totient is φ = 2693145354240.

The previous prime is 6827978041589. The next prime is 6827978041649. The reversal of 6827978041600 is 61408797286.

The square root of 6827978041600 is 2613040.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1420902144256 + 5407075897344 = 1192016^2 + 2325312^2 .

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 18604844617 + ... + 18604844983.

Almost surely, 2^{6827978041600} is an apocalyptic number.

6827978041600 is the 2613040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6827978041600

6827978041600 is an abundant number, since it is smaller than the sum of its proper divisors (10311059271707).

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

6827978041600 is an frugal number, since it uses more digits than its factorization.

6827978041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 58.

The spelling of 6827978041600 in words is "six trillion, eight hundred twenty-seven billion, nine hundred seventy-eight million, forty-one thousand, six hundred".