8467997648 has 80 divisors (see below), whose sum is σ = 18430070400. Its totient is φ = 3735705600.

The previous prime is 8467997639. The next prime is 8467997677.

8467997648 is nontrivially palindromic in base 10.

It is a congruent number.

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, 1433036 + ... + 1438932.

It is an arithmetic number, because the mean of its divisors is an integer number (230375880).

Almost surely, 2^8467997648 is an apocalyptic number.

8467997648 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 8467997648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9215035200).

8467997648 is an abundant number, since it is smaller than the sum of its proper divisors (9962072752).

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

8467997648 is a wasteful number, since it uses less digits than its factorization.

8467997648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6156 (or 6150 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 68.

The square root of 8467997648 is about 92021.7237830285. The cubic root of 8467997648 is about 2038.2631031622.

The spelling of 8467997648 in words is "eight billion, four hundred sixty-seven million, nine hundred ninety-seven thousand, six hundred forty-eight".