8413064352 has 288 divisors, whose sum is σ = 30935084544. Its totient is φ = 2185056000.

The previous prime is 8413064347. The next prime is 8413064353. The reversal of 8413064352 is 2534603148.

8413064352 is a `hidden beast` number, since 8 + 4 + 1 + 3 + 0 + 643 + 5 + 2 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (8413064353) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 591727 + ... + 605777.

It is an arithmetic number, because the mean of its divisors is an integer number (107413488).

Almost surely, 2^8413064352 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 8413064352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15467542272).

8413064352 is an abundant number, since it is smaller than the sum of its proper divisors (22522020192).

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

8413064352 is a wasteful number, since it uses less digits than its factorization.

8413064352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14094 (or 14074 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 8413064352 is about 91722.7580919806. The cubic root of 8413064352 is about 2033.8460217058.

The spelling of 8413064352 in words is "eight billion, four hundred thirteen million, sixty-four thousand, three hundred fifty-two".