968348722176 has 880 divisors, whose sum is σ = 3255106516992. Its totient is φ = 284265676800.

The previous prime is 968348722157. The next prime is 968348722181. The reversal of 968348722176 is 671227843869.

968348722176 is a `hidden beast` number, since 9 + 6 + 8 + 348 + 72 + 217 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7068238780 + ... + 7068238916.

Almost surely, 2^968348722176 is an apocalyptic number.

968348722176 is a gapful number since it is divisible by the number (96) 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 968348722176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627553258496).

968348722176 is an abundant number, since it is smaller than the sum of its proper divisors (2286757794816).

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

968348722176 is a wasteful number, since it uses less digits than its factorization.

968348722176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 341 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 968348722176 in words is "nine hundred sixty-eight billion, three hundred forty-eight million, seven hundred twenty-two thousand, one hundred seventy-six".