8215565760 has 168 divisors, whose sum is σ = 28599414480. Its totient is φ = 2164359168.

The previous prime is 8215565749. The next prime is 8215565777. The reversal of 8215565760 is 675655128.

8215565760 is a `hidden beast` number, since 8 + 2 + 15 + 565 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 221856 + ... + 256224.

It is an arithmetic number, because the mean of its divisors is an integer number (170234610).

Almost surely, 2^8215565760 is an apocalyptic number.

8215565760 is a gapful number since it is divisible by the number (80) 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 8215565760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14299707240).

8215565760 is an abundant number, since it is smaller than the sum of its proper divisors (20383848720).

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

8215565760 is a wasteful number, since it uses less digits than its factorization.

8215565760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34475 (or 34462 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 8215565760 is about 90639.7581638433. The cubic root of 8215565760 is about 2017.8048368629.

The spelling of 8215565760 in words is "eight billion, two hundred fifteen million, five hundred sixty-five thousand, seven hundred sixty".