7848617448 has 256 divisors, whose sum is σ = 23864279040. Its totient is φ = 2104185600.

The previous prime is 7848617423. The next prime is 7848617471. The reversal of 7848617448 is 8447168487.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 28961553 + ... + 28961823.

It is an arithmetic number, because the mean of its divisors is an integer number (93219840).

Almost surely, 2^7848617448 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 7848617448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11932139520).

7848617448 is an abundant number, since it is smaller than the sum of its proper divisors (16015661592).

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

7848617448 is a wasteful number, since it uses less digits than its factorization.

7848617448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 464 counting only the distinct ones).

The product of its digits is 9633792, while the sum is 57.

The square root of 7848617448 is about 88592.4231974721. The cubic root of 7848617448 is about 1987.3043683240.

The spelling of 7848617448 in words is "seven billion, eight hundred forty-eight million, six hundred seventeen thousand, four hundred forty-eight".