968714479872 has 216 divisors, whose sum is σ = 2931353740224. Its totient is φ = 307077230592.

The previous prime is 968714479861. The next prime is 968714479939. The reversal of 968714479872 is 278974417869.

968714479872 is a `hidden beast` number, since 9 + 6 + 8 + 71 + 4 + 479 + 87 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 968714479872.

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 23 ways as a sum of consecutive naturals, for example, 9114783 + ... + 9220449.

Almost surely, 2^968714479872 is an apocalyptic number.

968714479872 is a gapful number since it is divisible by the number (92) 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 968714479872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465676870112).

968714479872 is an abundant number, since it is smaller than the sum of its proper divisors (1962639260352).

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

968714479872 is a wasteful number, since it uses less digits than its factorization.

968714479872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105885 (or 105868 counting only the distinct ones).

The product of its digits is 341397504, while the sum is 72.

The spelling of 968714479872 in words is "nine hundred sixty-eight billion, seven hundred fourteen million, four hundred seventy-nine thousand, eight hundred seventy-two".