8205649920 has 480 divisors, whose sum is σ = 31715643960. Its totient is φ = 2017198080.

The previous prime is 8205649889. The next prime is 8205649931. The reversal of 8205649920 is 299465028.

8205649920 is a `hidden beast` number, since 82 + 0 + 564 + 9 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2203739136 + 6001910784 = 46944^2 + 77472^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10782340 + ... + 10783100.

Almost surely, 2^8205649920 is an apocalyptic number.

8205649920 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 8205649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15857821980).

8205649920 is an abundant number, since it is smaller than the sum of its proper divisors (23509994040).

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

8205649920 is a wasteful number, since it uses less digits than its factorization.

8205649920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 8205649920 is about 90585.0424739096. The cubic root of 8205649920 is about 2016.9927083743.

The spelling of 8205649920 in words is "eight billion, two hundred five million, six hundred forty-nine thousand, nine hundred twenty".