6731130617568 has 768 divisors, whose sum is σ = 23411043532800. Its totient is φ = 1841160222720.

The previous prime is 6731130617531. The next prime is 6731130617581. The reversal of 6731130617568 is 8657160311376.

6731130617568 is a `hidden beast` number, since 6 + 7 + 3 + 1 + 13 + 0 + 61 + 7 + 568 = 666.

It is a super-2 number, since 2×6731130617568² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10214158423 + ... + 10214159081.

It is an arithmetic number, because the mean of its divisors is an integer number (30483129600).

Almost surely, 2^{6731130617568} 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 6731130617568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11705521766400).

6731130617568 is an abundant number, since it is smaller than the sum of its proper divisors (16679912915232).

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

6731130617568 is a wasteful number, since it uses less digits than its factorization.

6731130617568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 6731130617568 in words is "six trillion, seven hundred thirty-one billion, one hundred thirty million, six hundred seventeen thousand, five hundred sixty-eight".