8353642752 has 720 divisors, whose sum is σ = 32409336960. Its totient is φ = 2078244864.

The previous prime is 8353642751. The next prime is 8353642783. The reversal of 8353642752 is 2572463538.

8353642752 is a `hidden beast` number, since 8 + 3 + 536 + 42 + 75 + 2 = 666.

Its product of digits (1209600) is a multiple of the sum of its prime factors (300).

It is a junction number, because it is equal to n+sod(n) for n = 8353642698 and 8353642707.

It is not an unprimeable number, because it can be changed into a prime (8353642751) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35852428 + ... + 35852660.

It is an arithmetic number, because the mean of its divisors is an integer number (45012968).

Almost surely, 2^8353642752 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 8353642752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16204668480).

8353642752 is an abundant number, since it is smaller than the sum of its proper divisors (24055694208).

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

8353642752 is a wasteful number, since it uses less digits than its factorization.

8353642752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 277 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 8353642752 is about 91398.2644911817. The cubic root of 8353642752 is about 2029.0463421612.

The spelling of 8353642752 in words is "eight billion, three hundred fifty-three million, six hundred forty-two thousand, seven hundred fifty-two".