8386641648 has 720 divisors, whose sum is σ = 32284362240. Its totient is φ = 2019790080.

The previous prime is 8386641647. The next prime is 8386641673. The reversal of 8386641648 is 8461466838.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 8386641594 and 8386641603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8386641647) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 178439161 + ... + 178439207.

It is an arithmetic number, because the mean of its divisors is an integer number (44839392).

Almost surely, 2^8386641648 is an apocalyptic number.

8386641648 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 8386641648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16142181120).

8386641648 is an abundant number, since it is smaller than the sum of its proper divisors (23897720592).

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

8386641648 is a wasteful number, since it uses less digits than its factorization.

8386641648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 89 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 8386641648 is about 91578.6091180686. The cubic root of 8386641648 is about 2031.7145720464.

The spelling of 8386641648 in words is "eight billion, three hundred eighty-six million, six hundred forty-one thousand, six hundred forty-eight".