1984196803680 has 3456 divisors, whose sum is σ = 9763275150720. Its totient is φ = 361184624640.

The previous prime is 1984196803669. The next prime is 1984196803691. The reversal of 1984196803680 is 863086914891.

1984196803680 is a `hidden beast` number, since 1 + 9 + 8 + 4 + 196 + 80 + 368 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1984196803669) and next prime (1984196803691).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 10962413190 + ... + 10962413370.

It is an arithmetic number, because the mean of its divisors is an integer number (2825021745).

Almost surely, 2^{1984196803680} is an apocalyptic number.

1984196803680 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 1984196803680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4881637575360).

1984196803680 is an abundant number, since it is smaller than the sum of its proper divisors (7779078347040).

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

1984196803680 is a wasteful number, since it uses less digits than its factorization.

1984196803680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 1984196803680 in words is "one trillion, nine hundred eighty-four billion, one hundred ninety-six million, eight hundred three thousand, six hundred eighty".