8395313472 has 672 divisors, whose sum is σ = 32106412800. Its totient is φ = 2129670144.

The previous prime is 8395313449. The next prime is 8395313527. The reversal of 8395313472 is 2743135938.

8395313472 is a `hidden beast` number, since 83 + 9 + 531 + 34 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31921213 + ... + 31921475.

It is an arithmetic number, because the mean of its divisors is an integer number (47777400).

Almost surely, 2^8395313472 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 8395313472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16053206400).

8395313472 is an abundant number, since it is smaller than the sum of its proper divisors (23711099328).

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

8395313472 is a wasteful number, since it uses less digits than its factorization.

8395313472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 317 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 8395313472 is about 91625.9432257044. The cubic root of 8395313472 is about 2032.4145980646.

The spelling of 8395313472 in words is "eight billion, three hundred ninety-five million, three hundred thirteen thousand, four hundred seventy-two".