8634316320 has 288 divisors, whose sum is σ = 35655355008. Its totient is φ = 1857429504.

The previous prime is 8634316291. The next prime is 8634316333. The reversal of 8634316320 is 236134368.

8634316320 is a `hidden beast` number, since 8 + 634 + 3 + 16 + 3 + 2 + 0 = 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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146167 + ... + 196553.

It is an arithmetic number, because the mean of its divisors is an integer number (123803316).

Almost surely, 2^8634316320 is an apocalyptic number.

8634316320 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 8634316320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17827677504).

8634316320 is an abundant number, since it is smaller than the sum of its proper divisors (27021038688).

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

8634316320 is a wasteful number, since it uses less digits than its factorization.

8634316320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50432 (or 50421 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 8634316320 is about 92921.0219487496. The cubic root of 8634316320 is about 2051.5210856408.

The spelling of 8634316320 in words is "eight billion, six hundred thirty-four million, three hundred sixteen thousand, three hundred twenty".