8345215872 has 576 divisors, whose sum is σ = 30474662400. Its totient is φ = 2177280000.

The previous prime is 8345215871. The next prime is 8345215873. The reversal of 8345215872 is 2785125438.

8345215872 is a `hidden beast` number, since 8 + 3 + 4 + 521 + 58 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (8345215871) and next prime (8345215873).

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8345215871) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33247747 + ... + 33247997.

It is an arithmetic number, because the mean of its divisors is an integer number (52907400).

Almost surely, 2^8345215872 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 8345215872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15237331200).

8345215872 is an abundant number, since it is smaller than the sum of its proper divisors (22129446528).

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

8345215872 is a wasteful number, since it uses less digits than its factorization.

8345215872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 313 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 8345215872 is about 91352.1530780747. The cubic root of 8345215872 is about 2028.3638342122.

The spelling of 8345215872 in words is "eight billion, three hundred forty-five million, two hundred fifteen thousand, eight hundred seventy-two".