6927312807360 has 672 divisors, whose sum is σ = 26686973214720. Its totient is φ = 1634708275200.

The previous prime is 6927312807323. The next prime is 6927312807409. The reversal of 6927312807360 is 637082137296.

6927312807360 is a `hidden beast` number, since 6 + 9 + 273 + 1 + 2 + 8 + 0 + 7 + 360 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6927312807297 and 6927312807306.

It is a congruent 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 95 ways as a sum of consecutive naturals, for example, 601375681 + ... + 601387199.

It is an arithmetic number, because the mean of its divisors is an integer number (39712757760).

Almost surely, 2^{6927312807360} is an apocalyptic number.

6927312807360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6927312807360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13343486607360).

6927312807360 is an abundant number, since it is smaller than the sum of its proper divisors (19759660407360).

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

6927312807360 is a wasteful number, since it uses less digits than its factorization.

6927312807360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12057 (or 12044 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 6927312807360 in words is "six trillion, nine hundred twenty-seven billion, three hundred twelve million, eight hundred seven thousand, three hundred sixty".