6731312472864 has 216 divisors, whose sum is σ = 22464484218540. Its totient is φ = 1906211930112.

The previous prime is 6731312472853. The next prime is 6731312472889. The reversal of 6731312472864 is 4682742131376.

6731312472864 is a `hidden beast` number, since 6 + 7 + 3 + 1 + 312 + 47 + 286 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4317701656464 + 2413610816400 = 2077908^2 + 1553580^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6731312472864.

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 35 ways as a sum of consecutive naturals, for example, 515929 + ... + 3705240.

Almost surely, 2^{6731312472864} 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 6731312472864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11232242109270).

6731312472864 is an abundant number, since it is smaller than the sum of its proper divisors (15733171745676).

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

6731312472864 is a wasteful number, since it uses less digits than its factorization.

6731312472864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4221312 (or 4221294 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 6731312472864 in words is "six trillion, seven hundred thirty-one billion, three hundred twelve million, four hundred seventy-two thousand, eight hundred sixty-four".