8480749968 has 120 divisors (see below), whose sum is σ = 24173955000. Its totient is φ = 2774753280.

The previous prime is 8480749967. The next prime is 8480749969. The reversal of 8480749968 is 8699470848.

8480749968 is a `hidden beast` number, since 8 + 4 + 80 + 7 + 499 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (8480749967) and next prime (8480749969).

It can be written as a sum of positive squares in 4 ways, for example, as 404492544 + 8076257424 = 20112^2 + 89868^2 .

It is not an unprimeable number, because it can be changed into a prime (8480749967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6789408 + ... + 6790656.

It is an arithmetic number, because the mean of its divisors is an integer number (201449625).

Almost surely, 2^8480749968 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 8480749968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12086977500).

8480749968 is an abundant number, since it is smaller than the sum of its proper divisors (15693205032).

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

8480749968 is a wasteful number, since it uses less digits than its factorization.

8480749968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The square root of 8480749968 is about 92090.9874417687. The cubic root of 8480749968 is about 2039.2857591878.

The spelling of 8480749968 in words is "eight billion, four hundred eighty million, seven hundred forty-nine thousand, nine hundred sixty-eight".