7991249184 has 96 divisors (see below), whose sum is σ = 23388099840. Its totient is φ = 2654574336.

The previous prime is 7991249153. The next prime is 7991249221. The reversal of 7991249184 is 4819421997.

7991249184 is a `hidden beast` number, since 79 + 9 + 1 + 2 + 491 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 7991249184.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237369 + ... + 268935.

It is an arithmetic number, because the mean of its divisors is an integer number (243626040).

Almost surely, 2^7991249184 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 7991249184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11694049920).

7991249184 is an abundant number, since it is smaller than the sum of its proper divisors (15396850656).

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

7991249184 is a wasteful number, since it uses less digits than its factorization.

7991249184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31879 (or 31865 counting only the distinct ones).

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

The square root of 7991249184 is about 89393.7871666706. The cubic root of 7991249184 is about 1999.2704992800.

The spelling of 7991249184 in words is "seven billion, nine hundred ninety-one million, two hundred forty-nine thousand, one hundred eighty-four".