1968450793600 has 96 divisors (see below), whose sum is σ = 4994112917700. Its totient is φ = 766099722240.

The previous prime is 1968450793591. The next prime is 1968450793633. The reversal of 1968450793600 is 63970548691.

It can be written as a sum of positive squares in 6 ways, for example, as 1732340321856 + 236110471744 = 1316184^2 + 485912^2 .

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 11 ways as a sum of consecutive naturals, for example, 8194315 + ... + 8431114.

Almost surely, 2^{1968450793600} is an apocalyptic number.

1968450793600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1968450793600 is an abundant number, since it is smaller than the sum of its proper divisors (3025662124100).

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

1968450793600 is a wasteful number, since it uses less digits than its factorization.

1968450793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16625490 (or 16625473 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 58.

The spelling of 1968450793600 in words is "one trillion, nine hundred sixty-eight billion, four hundred fifty million, seven hundred ninety-three thousand, six hundred".