8206675632 has 240 divisors, whose sum is σ = 25129248768. Its totient is φ = 2492328960.

The previous prime is 8206675627. The next prime is 8206675639. The reversal of 8206675632 is 2365766028.

It is a happy number.

8206675632 is a `hidden beast` number, since 8 + 2 + 0 + 6 + 6 + 7 + 5 + 632 = 666.

It is not an unprimeable number, because it can be changed into a prime (8206675639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6878428 + ... + 6879620.

Almost surely, 2^8206675632 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 8206675632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12564624384).

8206675632 is an abundant number, since it is smaller than the sum of its proper divisors (16922573136).

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

8206675632 is a wasteful number, since it uses less digits than its factorization.

8206675632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 8206675632 is about 90590.7038939427. The cubic root of 8206675632 is about 2017.0767467076.

The spelling of 8206675632 in words is "eight billion, two hundred six million, six hundred seventy-five thousand, six hundred thirty-two".