968668742160 has 960 divisors, whose sum is σ = 4009918348800. Its totient is φ = 217153198080.

The previous prime is 968668742081. The next prime is 968668742161. The reversal of 968668742160 is 61247866869.

968668742160 is a `hidden beast` number, since 96 + 8 + 6 + 68 + 7 + 421 + 60 = 666.

It is a super-2 number, since 2×968668742160² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (968668742161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 353398390 + ... + 353401130.

It is an arithmetic number, because the mean of its divisors is an integer number (4176998280).

Almost surely, 2^968668742160 is an apocalyptic number.

968668742160 is a gapful number since it is divisible by the number (90) 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 968668742160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004959174400).

968668742160 is an abundant number, since it is smaller than the sum of its proper divisors (3041249606640).

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

968668742160 is a wasteful number, since it uses less digits than its factorization.

968668742160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 968668742160 in words is "nine hundred sixty-eight billion, six hundred sixty-eight million, seven hundred forty-two thousand, one hundred sixty".