7991967072 has 48 divisors (see below), whose sum is σ = 20988685872. Its totient is φ = 2662748160.

The previous prime is 7991967041. The next prime is 7991967079. The reversal of 7991967072 is 2707691997.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7991967079) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 200728 + ... + 237224.

It is an arithmetic number, because the mean of its divisors is an integer number (437264289).

Almost surely, 2^7991967072 is an apocalyptic number.

It is an amenable number.

7991967072 is an abundant number, since it is smaller than the sum of its proper divisors (12996718800).

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

7991967072 is a wasteful number, since it uses less digits than its factorization.

7991967072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38791 (or 38783 counting only the distinct ones).

The product of its (nonzero) digits is 3000564, while the sum is 57.

The square root of 7991967072 is about 89397.8023890968. The cubic root of 7991967072 is about 1999.3303651529.

The spelling of 7991967072 in words is "seven billion, nine hundred ninety-one million, nine hundred sixty-seven thousand, seventy-two".