8670879648 has 144 divisors (see below), whose sum is σ = 26537192136. Its totient is φ = 2675589120.

The previous prime is 8670879619. The next prime is 8670879649. The reversal of 8670879648 is 8469780768.

It can be written as a sum of positive squares in 4 ways, for example, as 5717174544 + 2953705104 = 75612^2 + 54348^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (8670879649) 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, 284140 + ... + 313172.

Almost surely, 2^8670879648 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 8670879648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13268596068).

8670879648 is an abundant number, since it is smaller than the sum of its proper divisors (17866312488).

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

8670879648 is a wasteful number, since it uses less digits than its factorization.

8670879648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29127 (or 29116 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The square root of 8670879648 is about 93117.5582154085. The cubic root of 8670879648 is about 2054.4128338282.

The spelling of 8670879648 in words is "eight billion, six hundred seventy million, eight hundred seventy-nine thousand, six hundred forty-eight".