1974493768800 has 288 divisors, whose sum is σ = 7495020288000. Its totient is φ = 451312673280.

The previous prime is 1974493768799. The next prime is 1974493768823. The reversal of 1974493768800 is 88673944791.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376080 + ... + 2022479.

It is an arithmetic number, because the mean of its divisors is an integer number (26024376000).

Almost surely, 2^{1974493768800} is an apocalyptic number.

1974493768800 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 1974493768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3747510144000).

1974493768800 is an abundant number, since it is smaller than the sum of its proper divisors (5520526519200).

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

1974493768800 is a wasteful number, since it uses less digits than its factorization.

1974493768800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398603 (or 2398576 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 66.

The spelling of 1974493768800 in words is "one trillion, nine hundred seventy-four billion, four hundred ninety-three million, seven hundred sixty-eight thousand, eight hundred".