8641603152 has 480 divisors, whose sum is σ = 32107944960. Its totient is φ = 2203407360.

The previous prime is 8641603151. The next prime is 8641603153. The reversal of 8641603152 is 2513061468.

It is a happy number.

8641603152 is a `hidden beast` number, since 8 + 6 + 41 + 603 + 1 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (8641603151) and next prime (8641603153).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8641603151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8530198 + ... + 8531210.

It is an arithmetic number, because the mean of its divisors is an integer number (66891552).

Almost surely, 2^8641603152 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 8641603152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16053972480).

8641603152 is an abundant number, since it is smaller than the sum of its proper divisors (23466341808).

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

8641603152 is a wasteful number, since it uses less digits than its factorization.

8641603152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8641603152 is about 92960.2234937072. The cubic root of 8641603152 is about 2052.0980425780.

The spelling of 8641603152 in words is "eight billion, six hundred forty-one million, six hundred three thousand, one hundred fifty-two".