1968803464160 has 576 divisors, whose sum is σ = 5464137268800. Its totient is φ = 667535671296.

The previous prime is 1968803464127. The next prime is 1968803464181. The reversal of 1968803464160 is 614643088691.

It is a junction number, because it is equal to n+sod(n) for n = 1968803464096 and 1968803464105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6210736322 + ... + 6210736638.

It is an arithmetic number, because the mean of its divisors is an integer number (9486349425).

Almost surely, 2^{1968803464160} is an apocalyptic number.

1968803464160 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 1968803464160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732068634400).

1968803464160 is an abundant number, since it is smaller than the sum of its proper divisors (3495333804640).

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

1968803464160 is a wasteful number, since it uses less digits than its factorization.

1968803464160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 56.

The spelling of 1968803464160 in words is "one trillion, nine hundred sixty-eight billion, eight hundred three million, four hundred sixty-four thousand, one hundred sixty".