3207801991680 has 960 divisors, whose sum is σ = 13079909082240. Its totient is φ = 716282265600.

The previous prime is 3207801991679. The next prime is 3207801991711. The reversal of 3207801991680 is 861991087023.

3207801991680 is a `hidden beast` number, since 320 + 78 + 0 + 1 + 99 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 2276650816 + ... + 2276652224.

It is an arithmetic number, because the mean of its divisors is an integer number (13624905294).

Almost surely, 2^{3207801991680} is an apocalyptic number.

3207801991680 is a gapful number since it is divisible by the number (30) 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 3207801991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6539954541120).

3207801991680 is an abundant number, since it is smaller than the sum of its proper divisors (9872107090560).

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

3207801991680 is a wasteful number, since it uses less digits than its factorization.

3207801991680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 3207801991680 in words is "three trillion, two hundred seven billion, eight hundred one million, nine hundred ninety-one thousand, six hundred eighty".