8440015968 has 288 divisors, whose sum is σ = 26629005312. Its totient is φ = 2623104000.

The previous prime is 8440015967. The next prime is 8440015979. The reversal of 8440015968 is 8695100448.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8440015967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7332193 + ... + 7333343.

It is an arithmetic number, because the mean of its divisors is an integer number (92461824).

Almost surely, 2^8440015968 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 8440015968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13314502656).

8440015968 is an abundant number, since it is smaller than the sum of its proper divisors (18188989344).

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

8440015968 is a wasteful number, since it uses less digits than its factorization.

8440015968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 8440015968 is about 91869.5595287144. The cubic root of 8440015968 is about 2036.0155445694.

The spelling of 8440015968 in words is "eight billion, four hundred forty million, fifteen thousand, nine hundred sixty-eight".