8382567648 has 288 divisors, whose sum is σ = 28121167872. Its totient is φ = 2138572800.

The previous prime is 8382567581. The next prime is 8382567659. The reversal of 8382567648 is 8467652838.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3519418 + ... + 3521798.

It is an arithmetic number, because the mean of its divisors is an integer number (97642944).

Almost surely, 2^8382567648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8382567648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14060583936).

8382567648 is an abundant number, since it is smaller than the sum of its proper divisors (19738600224).

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

8382567648 is a wasteful number, since it uses less digits than its factorization.

8382567648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 2437 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 57.

The square root of 8382567648 is about 91556.3632305259. The cubic root of 8382567648 is about 2031.3855350629.

The spelling of 8382567648 in words is "eight billion, three hundred eighty-two million, five hundred sixty-seven thousand, six hundred forty-eight".