4208868768 has 96 divisors (see below), whose sum is σ = 12016311552. Its totient is φ = 1282176000.

The previous prime is 4208868761. The next prime is 4208868793. The reversal of 4208868768 is 8678688024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4208868761) 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 15 ways as a sum of consecutive naturals, for example, 109353 + ... + 142743.

It is an arithmetic number, because the mean of its divisors is an integer number (125169912).

Almost surely, 2^4208868768 is an apocalyptic number.

4208868768 is a gapful number since it is divisible by the number (48) 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 4208868768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6008155776).

4208868768 is an abundant number, since it is smaller than the sum of its proper divisors (7807442784).

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

4208868768 is a wasteful number, since it uses less digits than its factorization.

4208868768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33518 (or 33510 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 57.

The square root of 4208868768 is about 64875.7949315459. The cubic root of 4208868768 is about 1614.5634924035.

The spelling of 4208868768 in words is "four billion, two hundred eight million, eight hundred sixty-eight thousand, seven hundred sixty-eight".