1984072273920 has 936 divisors, whose sum is σ = 8005517164008. Its totient is φ = 452607344640.

The previous prime is 1984072273901. The next prime is 1984072273973. The reversal of 1984072273920 is 293722704891.

It is a happy number.

1984072273920 is a `hidden beast` number, since 1 + 9 + 8 + 407 + 227 + 3 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 952076353536 + 1031995920384 = 975744^2 + 1015872^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 379143624 + ... + 379148856.

It is an arithmetic number, because the mean of its divisors is an integer number (8552902953).

Almost surely, 2^{1984072273920} is an apocalyptic number.

1984072273920 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 1984072273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4002758582004).

1984072273920 is an abundant number, since it is smaller than the sum of its proper divisors (6021444890088).

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

1984072273920 is a wasteful number, since it uses less digits than its factorization.

1984072273920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5307 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 1984072273920 in words is "one trillion, nine hundred eighty-four billion, seventy-two million, two hundred seventy-three thousand, nine hundred twenty".