6827731065120 has 192 divisors, whose sum is σ = 24581001747456. Its totient is φ = 1560549964800.

The previous prime is 6827731065101. The next prime is 6827731065173. The reversal of 6827731065120 is 215601377286.

It is a super-2 number, since 2×6827731065120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6827731065120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103626427 + ... + 103692293.

It is an arithmetic number, because the mean of its divisors is an integer number (128026050768).

Almost surely, 2^{6827731065120} is an apocalyptic number.

6827731065120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6827731065120 is an abundant number, since it is smaller than the sum of its proper divisors (17753270682336).

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

6827731065120 is a wasteful number, since it uses less digits than its factorization.

6827731065120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96743 (or 96735 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 6827731065120 in words is "six trillion, eight hundred twenty-seven billion, seven hundred thirty-one million, sixty-five thousand, one hundred twenty".