8144668320 has 96 divisors (see below), whose sum is σ = 25737118848. Its totient is φ = 2165019648.

The previous prime is 8144668283. The next prime is 8144668331. The reversal of 8144668320 is 238664418.

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

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 15 ways as a sum of consecutive naturals, for example, 125397 + ... + 178923.

It is an arithmetic number, because the mean of its divisors is an integer number (268094988).

Almost surely, 2^8144668320 is an apocalyptic number.

8144668320 is a gapful number since it is divisible by the number (80) 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 8144668320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12868559424).

8144668320 is an abundant number, since it is smaller than the sum of its proper divisors (17592450528).

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

8144668320 is a wasteful number, since it uses less digits than its factorization.

8144668320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53862 (or 53854 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 8144668320 is about 90247.8161508632. The cubic root of 8144668320 is about 2011.9837448474.

The spelling of 8144668320 in words is "eight billion, one hundred forty-four million, six hundred sixty-eight thousand, three hundred twenty".