7991203968 has 144 divisors (see below), whose sum is σ = 25276510350. Its totient is φ = 2421534720.

The previous prime is 7991203951. The next prime is 7991203981. The reversal of 7991203968 is 8693021997.

It can be written as a sum of positive squares in only one way, i.e., 7915305024 + 75898944 = 88968^2 + 8712^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 110728 + ... + 168056.

Almost surely, 2^7991203968 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 7991203968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12638255175).

7991203968 is an abundant number, since it is smaller than the sum of its proper divisors (17285306382).

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

7991203968 is a wasteful number, since it uses less digits than its factorization.

7991203968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57371 (or 57345 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 7991203968 is about 89393.5342628313. The cubic root of 7991203968 is about 1999.2667285227.

The spelling of 7991203968 in words is "seven billion, nine hundred ninety-one million, two hundred three thousand, nine hundred sixty-eight".