9968344680 has 512 divisors, whose sum is σ = 37391155200. Its totient is φ = 2075590656.

The previous prime is 9968344663. The next prime is 9968344709. The reversal of 9968344680 is 864438699.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 9968344680.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72761572 + ... + 72761708.

It is an arithmetic number, because the mean of its divisors is an integer number (73029600).

Almost surely, 2^9968344680 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 9968344680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18695577600).

9968344680 is an abundant number, since it is smaller than the sum of its proper divisors (27422810520).

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

9968344680 is a wasteful number, since it uses less digits than its factorization.

9968344680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 57.

The square root of 9968344680 is about 99841.5979439432. The cubic root of 9968344680 is about 2152.1589764075.

The spelling of 9968344680 in words is "nine billion, nine hundred sixty-eight million, three hundred forty-four thousand, six hundred eighty".