8479671648 has 192 divisors, whose sum is σ = 26742804480. Its totient is φ = 2300170752.

The previous prime is 8479671643. The next prime is 8479671679. The reversal of 8479671648 is 8461769748.

It is a junction number, because it is equal to n+sod(n) for n = 8479671591 and 8479671600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8479671643) 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 31 ways as a sum of consecutive naturals, for example, 2146411 + ... + 2150357.

It is an arithmetic number, because the mean of its divisors is an integer number (139285440).

Almost surely, 2^8479671648 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 8479671648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13371402240).

8479671648 is an abundant number, since it is smaller than the sum of its proper divisors (18263132832).

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

8479671648 is a wasteful number, since it uses less digits than its factorization.

8479671648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4129 (or 4121 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 60.

The square root of 8479671648 is about 92085.1326110790. The cubic root of 8479671648 is about 2039.1993243860.

The spelling of 8479671648 in words is "eight billion, four hundred seventy-nine million, six hundred seventy-one thousand, six hundred forty-eight".