4392168768 has 336 divisors, whose sum is σ = 14165738496. Its totient is φ = 1292267520.

The previous prime is 4392168751. The next prime is 4392168797. The reversal of 4392168768 is 8678612934.

It is a super-2 number, since 2×4392168768² = 38582292973189275648, which contains 22 as substring.

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 a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 22995553 + ... + 22995743.

It is an arithmetic number, because the mean of its divisors is an integer number (42159936).

Almost surely, 2^4392168768 is an apocalyptic number.

4392168768 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 4392168768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7082869248).

4392168768 is an abundant number, since it is smaller than the sum of its proper divisors (9773569728).

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

4392168768 is a wasteful number, since it uses less digits than its factorization.

4392168768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 329 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 4392168768 is about 66273.4393856242. The cubic root of 4392168768 is about 1637.6697979665.

The spelling of 4392168768 in words is "four billion, three hundred ninety-two million, one hundred sixty-eight thousand, seven hundred sixty-eight".