8259952680 has 192 divisors, whose sum is σ = 30901852800. Its totient is φ = 1874327040.

The previous prime is 8259952663. The next prime is 8259952693. The reversal of 8259952680 is 862599528.

8259952680 is a `hidden beast` number, since 8 + 25 + 99 + 526 + 8 + 0 = 666.

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, 338490 + ... + 362070.

It is an arithmetic number, because the mean of its divisors is an integer number (160947150).

Almost surely, 2^8259952680 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 8259952680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15450926400).

8259952680 is an abundant number, since it is smaller than the sum of its proper divisors (22641900120).

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

8259952680 is a wasteful number, since it uses less digits than its factorization.

8259952680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23744 (or 23737 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 8259952680 is about 90884.2818093426. The cubic root of 8259952680 is about 2021.4322326441.

The spelling of 8259952680 in words is "eight billion, two hundred fifty-nine million, nine hundred fifty-two thousand, six hundred eighty".