8015065344 has 864 divisors, whose sum is σ = 30373709184. Its totient is φ = 2070282240.

The previous prime is 8015065343. The next prime is 8015065381. The reversal of 8015065344 is 4435605108.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8015065299 and 8015065308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8015065343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151227622 + ... + 151227674.

It is an arithmetic number, because the mean of its divisors is an integer number (35154756).

Almost surely, 2^8015065344 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 8015065344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15186854592).

8015065344 is an abundant number, since it is smaller than the sum of its proper divisors (22358643840).

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

8015065344 is a wasteful number, since it uses less digits than its factorization.

8015065344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 8015065344 is about 89526.8973214196. The cubic root of 8015065344 is about 2001.2546580853.

The spelling of 8015065344 in words is "eight billion, fifteen million, sixty-five thousand, three hundred forty-four".