1968474803200 has 264 divisors, whose sum is σ = 5076754939904. Its totient is φ = 755951616000.

The previous prime is 1968474803137. The next prime is 1968474803213. The reversal of 1968474803200 is 23084748691.

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 23 ways as a sum of consecutive naturals, for example, 100777435 + ... + 100796965.

Almost surely, 2^{1968474803200} is an apocalyptic number.

1968474803200 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 1968474803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538377469952).

1968474803200 is an abundant number, since it is smaller than the sum of its proper divisors (3108280136704).

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

1968474803200 is a wasteful number, since it uses less digits than its factorization.

1968474803200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19719 (or 19696 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 1968474803200 in words is "one trillion, nine hundred sixty-eight billion, four hundred seventy-four million, eight hundred three thousand, two hundred".