8358432768 has 520 divisors, whose sum is σ = 29495463360. Its totient is φ = 2309160960.

The previous prime is 8358432763. The next prime is 8358432811. The reversal of 8358432768 is 8672348538.

It is a super-2 number, since 2×8358432768² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8358432763) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 137023458 + ... + 137023518.

Almost surely, 2^8358432768 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 8358432768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14747731680).

8358432768 is an abundant number, since it is smaller than the sum of its proper divisors (21137030592).

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

8358432768 is an equidigital number, since it uses as much as digits as its factorization.

8358432768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 132 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 8358432768 is about 91424.4648220595. The cubic root of 8358432768 is about 2029.4340894651.

The spelling of 8358432768 in words is "eight billion, three hundred fifty-eight million, four hundred thirty-two thousand, seven hundred sixty-eight".