7724482248 has 64 divisors (see below), whose sum is σ = 22125179520. Its totient is φ = 2201472000.

The previous prime is 7724482247. The next prime is 7724482279. The reversal of 7724482248 is 8422844277.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 7724482197 and 7724482206.

It is not an unprimeable number, because it can be changed into a prime (7724482247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10038 + ... + 124698.

It is an arithmetic number, because the mean of its divisors is an integer number (345705930).

Almost surely, 2^7724482248 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 7724482248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11062589760).

7724482248 is an abundant number, since it is smaller than the sum of its proper divisors (14400697272).

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

7724482248 is a wasteful number, since it uses less digits than its factorization.

7724482248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115078 (or 115074 counting only the distinct ones).

The product of its digits is 1605632, while the sum is 48.

The square root of 7724482248 is about 87889.0337186614. The cubic root of 7724482248 is about 1976.7714489861.

The spelling of 7724482248 in words is "seven billion, seven hundred twenty-four million, four hundred eighty-two thousand, two hundred forty-eight".