7991744808960 has 2304 divisors, whose sum is σ = 33518732083200. Its totient is φ = 1820972482560.

The previous prime is 7991744808959. The next prime is 7991744808989. The reversal of 7991744808960 is 698084471997.

7991744808960 is a `hidden beast` number, since 7 + 9 + 9 + 1 + 7 + 4 + 480 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62927124417 + ... + 62927124543.

It is an arithmetic number, because the mean of its divisors is an integer number (14548060800).

Almost surely, 2^{7991744808960} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7991744808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16759366041600).

7991744808960 is an abundant number, since it is smaller than the sum of its proper divisors (25526987274240).

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

7991744808960 is a wasteful number, since it uses less digits than its factorization.

7991744808960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 7991744808960 in words is "seven trillion, nine hundred ninety-one billion, seven hundred forty-four million, eight hundred eight thousand, nine hundred sixty".