8206753968 has 120 divisors (see below), whose sum is σ = 26277856800. Its totient is φ = 2342172672.

The previous prime is 8206753963. The next prime is 8206754057. The reversal of 8206753968 is 8693576028.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (8206753963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1013038 + ... + 1021106.

It is an arithmetic number, because the mean of its divisors is an integer number (218982140).

Almost surely, 2^8206753968 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 8206753968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13138928400).

8206753968 is an abundant number, since it is smaller than the sum of its proper divisors (18071102832).

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

8206753968 is a wasteful number, since it uses less digits than its factorization.

8206753968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9099 (or 9090 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 8206753968 is about 90591.1362551547. The cubic root of 8206753968 is about 2017.0831646218.

The spelling of 8206753968 in words is "eight billion, two hundred six million, seven hundred fifty-three thousand, nine hundred sixty-eight".