8259681664 has 192 divisors, whose sum is σ = 18725731200. Its totient is φ = 3622993920.

The previous prime is 8259681649. The next prime is 8259681679. The reversal of 8259681664 is 4661869528.

It is an interprime number because it is at equal distance from previous prime (8259681649) and next prime (8259681679).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73094472 + ... + 73094584.

It is an arithmetic number, because the mean of its divisors is an integer number (97529850).

Almost surely, 2^8259681664 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 8259681664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9362865600).

8259681664 is an abundant number, since it is smaller than the sum of its proper divisors (10466049536).

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

8259681664 is a wasteful number, since it uses less digits than its factorization.

8259681664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 268 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 55.

The square root of 8259681664 is about 90882.7908022195. The cubic root of 8259681664 is about 2021.4101241046.

The spelling of 8259681664 in words is "eight billion, two hundred fifty-nine million, six hundred eighty-one thousand, six hundred sixty-four".