8205697656 has 192 divisors, whose sum is σ = 25983072000. Its totient is φ = 2391742080.

The previous prime is 8205697627. The next prime is 8205697663. The reversal of 8205697656 is 6567965028.

It is a happy number.

8205697656 is a `hidden beast` number, since 8 + 2 + 0 + 569 + 76 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 687661 + ... + 699491.

It is an arithmetic number, because the mean of its divisors is an integer number (135328500).

Almost surely, 2^8205697656 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 8205697656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12991536000).

8205697656 is an abundant number, since it is smaller than the sum of its proper divisors (17777374344).

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

8205697656 is a wasteful number, since it uses less digits than its factorization.

8205697656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11891 (or 11868 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The square root of 8205697656 is about 90585.3059607352. The cubic root of 8205697656 is about 2016.9966196216.

The spelling of 8205697656 in words is "eight billion, two hundred five million, six hundred ninety-seven thousand, six hundred fifty-six".