1996904067840 has 1440 divisors, whose sum is σ = 8133497064000. Its totient is φ = 463371632640.

The previous prime is 1996904067833. The next prime is 1996904067859. The reversal of 1996904067840 is 487604096991.

1996904067840 is a `hidden beast` number, since 1 + 99 + 69 + 0 + 406 + 7 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 159 ways as a sum of consecutive naturals, for example, 5721787986 + ... + 5721788334.

It is an arithmetic number, because the mean of its divisors is an integer number (5648261850).

Almost surely, 2^{1996904067840} is an apocalyptic number.

1996904067840 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 1996904067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4066748532000).

1996904067840 is an abundant number, since it is smaller than the sum of its proper divisors (6136592996160).

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

1996904067840 is a wasteful number, since it uses less digits than its factorization.

1996904067840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 1996904067840 in words is "one trillion, nine hundred ninety-six billion, nine hundred four million, sixty-seven thousand, eight hundred forty".