8674884768 has 96 divisors (see below), whose sum is σ = 25006689792. Its totient is φ = 2611296000.

The previous prime is 8674884737. The next prime is 8674884787.

8674884768 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 8674884699 and 8674884708.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132255 + ... + 186657.

It is an arithmetic number, because the mean of its divisors is an integer number (260486352).

Almost surely, 2^8674884768 is an apocalyptic number.

8674884768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8674884768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12503344896).

8674884768 is an abundant number, since it is smaller than the sum of its proper divisors (16331805024).

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

8674884768 is a wasteful number, since it uses less digits than its factorization.

8674884768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54578 (or 54570 counting only the distinct ones).

The product of its digits is 115605504, while the sum is 66.

The square root of 8674884768 is about 93139.0614511441. The cubic root of 8674884768 is about 2054.7290994479.

The spelling of 8674884768 in words is "eight billion, six hundred seventy-four million, eight hundred eighty-four thousand, seven hundred sixty-eight".