8467557648 has 80 divisors (see below), whose sum is σ = 23892238656. Its totient is φ = 2562795520.

The previous prime is 8467557643. The next prime is 8467557649.

8467557648 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8467557591 and 8467557600.

It is not an unprimeable number, because it can be changed into a prime (8467557643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 443140 + ... + 461852.

Almost surely, 2^8467557648 is an apocalyptic number.

8467557648 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 8467557648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11946119328).

8467557648 is an abundant number, since it is smaller than the sum of its proper divisors (15424681008).

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

8467557648 is a wasteful number, since it uses less digits than its factorization.

8467557648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19592 (or 19586 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 60.

The square root of 8467557648 is about 92019.3330121448. Note that the first 3 decimals coincide. The cubic root of 8467557648 is about 2038.2277996057.

The spelling of 8467557648 in words is "eight billion, four hundred sixty-seven million, five hundred fifty-seven thousand, six hundred forty-eight".