8463003648 has 416 divisors, whose sum is σ = 27175772160. Its totient is φ = 2312110080.

The previous prime is 8463003641. The next prime is 8463003683.

8463003648 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×8463003648² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8463003641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66637761 + ... + 66637887.

Almost surely, 2^8463003648 is an apocalyptic number.

8463003648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8463003648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13587886080).

8463003648 is an abundant number, since it is smaller than the sum of its proper divisors (18712768512).

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

8463003648 is a wasteful number, since it uses less digits than its factorization.

8463003648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 8463003648 is about 91994.5848841115. The cubic root of 8463003648 is about 2037.8623359421.

It can be divided in two parts, 846300 and 3648, that added together give a palindrome (849948).

The spelling of 8463003648 in words is "eight billion, four hundred sixty-three million, three thousand, six hundred forty-eight".