947317560768 has 224 divisors, whose sum is σ = 2824276800000. Its totient is φ = 315217453824.

The previous prime is 947317560767. The next prime is 947317560769. The reversal of 947317560768 is 867065713749.

947317560768 is a `hidden beast` number, since 9 + 4 + 7 + 3 + 1 + 7 + 560 + 7 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (947317560767) and next prime (947317560769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (947317560767) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 83835183 + ... + 83846481.

Almost surely, 2^947317560768 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 947317560768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412138400000).

947317560768 is an abundant number, since it is smaller than the sum of its proper divisors (1876959239232).

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

947317560768 is an equidigital number, since it uses as much as digits as its factorization.

947317560768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11931 (or 11903 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 947317560768 in words is "nine hundred forty-seven billion, three hundred seventeen million, five hundred sixty thousand, seven hundred sixty-eight".