8667336960 has 180 divisors, whose sum is σ = 31013687628. Its totient is φ = 2311262208.

The previous prime is 8667336949. The next prime is 8667336971. The reversal of 8667336960 is 696337668.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8667336949) and next prime (8667336971).

It can be written as a sum of positive squares in 2 ways, for example, as 3869835264 + 4797501696 = 62208^2 + 69264^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 = 8667336897 and 8667336906.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 61882 + ... + 145478.

Almost surely, 2^8667336960 is an apocalyptic number.

8667336960 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 8667336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15506843814).

8667336960 is an abundant number, since it is smaller than the sum of its proper divisors (22346350668).

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

8667336960 is an equidigital number, since it uses as much as digits as its factorization.

8667336960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83630 (or 83607 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The square root of 8667336960 is about 93098.5336082153. The cubic root of 8667336960 is about 2054.1330031216.

The spelling of 8667336960 in words is "eight billion, six hundred sixty-seven million, three hundred thirty-six thousand, nine hundred sixty".