8644872960 has 288 divisors, whose sum is σ = 31430669760. Its totient is φ = 2248704000.

The previous prime is 8644872959. The next prime is 8644872967. The reversal of 8644872960 is 692784468.

8644872960 is a `hidden beast` number, since 86 + 4 + 487 + 29 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8644872897 and 8644872906.

It is not an unprimeable number, because it can be changed into a prime (8644872967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1413910 + ... + 1420010.

It is an arithmetic number, because the mean of its divisors is an integer number (109134270).

Almost surely, 2^8644872960 is an apocalyptic number.

8644872960 is a gapful number since it is divisible by the number (80) 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 8644872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15715334880).

8644872960 is an abundant number, since it is smaller than the sum of its proper divisors (22785796800).

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

8644872960 is a wasteful number, since it uses less digits than its factorization.

8644872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6172 (or 6152 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 8644872960 is about 92977.8089653655. The cubic root of 8644872960 is about 2052.3568340835.

The spelling of 8644872960 in words is "eight billion, six hundred forty-four million, eight hundred seventy-two thousand, nine hundred sixty".