6821086723760 has 80 divisors (see below), whose sum is σ = 15965401958400. Its totient is φ = 2710136620800.

The previous prime is 6821086723757. The next prime is 6821086723849. The reversal of 6821086723760 is 673276801286.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 6821086723696 and 6821086723705.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263318969 + ... + 263344871.

It is an arithmetic number, because the mean of its divisors is an integer number (199567524480).

Almost surely, 2^{6821086723760} 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 6821086723760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7982700979200).

6821086723760 is an abundant number, since it is smaller than the sum of its proper divisors (9144315234640).

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

6821086723760 is a wasteful number, since it uses less digits than its factorization.

6821086723760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47866 (or 47860 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 56.

The spelling of 6821086723760 in words is "six trillion, eight hundred twenty-one billion, eighty-six million, seven hundred twenty-three thousand, seven hundred sixty".