7924240896 has 320 divisors, whose sum is σ = 25408373760. Its totient is φ = 2162442240.

The previous prime is 7924240873. The next prime is 7924240903. The reversal of 7924240896 is 6980424297.

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 31 ways as a sum of consecutive naturals, for example, 9444445 + ... + 9445283.

It is an arithmetic number, because the mean of its divisors is an integer number (79401168).

Almost surely, 2^7924240896 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 7924240896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12704186880).

7924240896 is an abundant number, since it is smaller than the sum of its proper divisors (17484132864).

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

7924240896 is a wasteful number, since it uses less digits than its factorization.

7924240896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 7924240896 is about 89018.2054188917. The cubic root of 7924240896 is about 1993.6667072039. Note that the first 3 decimals are identical.

The spelling of 7924240896 in words is "seven billion, nine hundred twenty-four million, two hundred forty thousand, eight hundred ninety-six".