8361688320 has 576 divisors, whose sum is σ = 31376217600. Its totient is φ = 2131992576.

The previous prime is 8361688303. The next prime is 8361688393. The reversal of 8361688320 is 238861638.

8361688320 is a `hidden beast` number, since 8 + 3 + 616 + 8 + 8 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81181389 + ... + 81181491.

It is an arithmetic number, because the mean of its divisors is an integer number (54472600).

Almost surely, 2^8361688320 is an apocalyptic number.

8361688320 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 8361688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15688108800).

8361688320 is an abundant number, since it is smaller than the sum of its proper divisors (23014529280).

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

8361688320 is an equidigital number, since it uses as much as digits as its factorization.

8361688320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 8361688320 is about 91442.2676884164. The cubic root of 8361688320 is about 2029.6975387980.

The spelling of 8361688320 in words is "eight billion, three hundred sixty-one million, six hundred eighty-eight thousand, three hundred twenty".