6809265786240 has 256 divisors, whose sum is σ = 24894091929600. Its totient is φ = 1757229742080.

The previous prime is 6809265786187. The next prime is 6809265786247. The reversal of 6809265786240 is 426875629086.

6809265786240 is a `hidden beast` number, since 68 + 0 + 9 + 265 + 78 + 6 + 240 = 666.

It is a super-2 number, since 2×6809265786240² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6809265786247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5820042 + ... + 6891401.

It is an arithmetic number, because the mean of its divisors is an integer number (97242546600).

Almost surely, 2^{6809265786240} is an apocalyptic number.

6809265786240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6809265786240 is an abundant number, since it is smaller than the sum of its proper divisors (18084826143360).

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

6809265786240 is a wasteful number, since it uses less digits than its factorization.

6809265786240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12711502 (or 12711484 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 6809265786240 in words is "six trillion, eight hundred nine billion, two hundred sixty-five million, seven hundred eighty-six thousand, two hundred forty".