968096161680 has 320 divisors, whose sum is σ = 3284516563200. Its totient is φ = 234935746560.

The previous prime is 968096161673. The next prime is 968096161723. The reversal of 968096161680 is 86161690869.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14650956 + ... + 14716884.

It is an arithmetic number, because the mean of its divisors is an integer number (10264114260).

Almost surely, 2^968096161680 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 968096161680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642258281600).

968096161680 is an abundant number, since it is smaller than the sum of its proper divisors (2316420401520).

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

968096161680 is a wasteful number, since it uses less digits than its factorization.

968096161680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66082 (or 66076 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 60.

The spelling of 968096161680 in words is "nine hundred sixty-eight billion, ninety-six million, one hundred sixty-one thousand, six hundred eighty".