4214868768 has 144 divisors (see below), whose sum is σ = 13203642816. Its totient is φ = 1264734720.

The previous prime is 4214868739. The next prime is 4214868793. The reversal of 4214868768 is 8678684124.

4214868768 is a `hidden beast` number, since 4 + 21 + 486 + 87 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319846 + ... + 332762.

It is an arithmetic number, because the mean of its divisors is an integer number (91691964).

Almost surely, 2^4214868768 is an apocalyptic number.

4214868768 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 4214868768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6601821408).

4214868768 is an abundant number, since it is smaller than the sum of its proper divisors (8988774048).

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

4214868768 is a wasteful number, since it uses less digits than its factorization.

4214868768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13047 (or 13036 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 4214868768 is about 64922.0206709557. The cubic root of 4214868768 is about 1615.3303478075.

The spelling of 4214868768 in words is "four billion, two hundred fourteen million, eight hundred sixty-eight thousand, seven hundred sixty-eight".