8642673312 has 288 divisors, whose sum is σ = 28796947200. Its totient is φ = 2249275392.

The previous prime is 8642673311. The next prime is 8642673313. The reversal of 8642673312 is 2133762468.

It is an interprime number because it is at equal distance from previous prime (8642673311) and next prime (8642673313).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (8642673311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4830114 + ... + 4831902.

It is an arithmetic number, because the mean of its divisors is an integer number (99989400).

Almost surely, 2^8642673312 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 8642673312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14398473600).

8642673312 is an abundant number, since it is smaller than the sum of its proper divisors (20154273888).

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

8642673312 is a wasteful number, since it uses less digits than its factorization.

8642673312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 1893 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 8642673312 is about 92965.9793257727. The cubic root of 8642673312 is about 2052.1827484115.

The spelling of 8642673312 in words is "eight billion, six hundred forty-two million, six hundred seventy-three thousand, three hundred twelve".