8464004648 has 64 divisors (see below), whose sum is σ = 18030021120. Its totient is φ = 3690086400.

The previous prime is 8464004611. The next prime is 8464004657.

8464004648 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 8464004599 and 8464004608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294536 + ... + 321992.

It is an arithmetic number, because the mean of its divisors is an integer number (281719080).

Almost surely, 2^8464004648 is an apocalyptic number.

8464004648 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 8464004648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9015010560).

8464004648 is an abundant number, since it is smaller than the sum of its proper divisors (9566016472).

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

8464004648 is a wasteful number, since it uses less digits than its factorization.

8464004648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27618 (or 27614 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 44.

The square root of 8464004648 is about 92000.0252608661. The cubic root of 8464004648 is about 2037.9426785668.

The spelling of 8464004648 in words is "eight billion, four hundred sixty-four million, four thousand, six hundred forty-eight".