8206367616 has 384 divisors, whose sum is σ = 25948016640. Its totient is φ = 2481684480.

The previous prime is 8206367581. The next prime is 8206367621. The reversal of 8206367616 is 6167636028.

8206367616 is a `hidden beast` number, since 8 + 2 + 0 + 636 + 7 + 6 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79673421 + ... + 79673523.

It is an arithmetic number, because the mean of its divisors is an integer number (67572960).

Almost surely, 2^8206367616 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 8206367616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12974008320).

8206367616 is an abundant number, since it is smaller than the sum of its proper divisors (17741649024).

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

8206367616 is a wasteful number, since it uses less digits than its factorization.

8206367616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 8206367616 is about 90589.0038360065. The cubic root of 8206367616 is about 2017.0515111672.

The spelling of 8206367616 in words is "eight billion, two hundred six million, three hundred sixty-seven thousand, six hundred sixteen".