1968704343680 has 128 divisors (see below), whose sum is σ = 4729749086160. Its totient is φ = 783588556800.

The previous prime is 1968704343679. The next prime is 1968704343719. The reversal of 1968704343680 is 863434078691.

It can be written as a sum of positive squares in 8 ways, for example, as 596638835776 + 1372065507904 = 772424^2 + 1171352^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136131650 + ... + 136146110.

Almost surely, 2^{1968704343680} is an apocalyptic number.

1968704343680 is a gapful number since it is divisible by the number (10) 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 1968704343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364874543080).

1968704343680 is an abundant number, since it is smaller than the sum of its proper divisors (2761044742480).

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

1968704343680 is a wasteful number, since it uses less digits than its factorization.

1968704343680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15518 (or 15506 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 59.

The spelling of 1968704343680 in words is "one trillion, nine hundred sixty-eight billion, seven hundred four million, three hundred forty-three thousand, six hundred eighty".