8205738540 has 96 divisors (see below), whose sum is σ = 23152313856. Its totient is φ = 2171473920.

The previous prime is 8205738539. The next prime is 8205738599. The reversal of 8205738540 is 458375028.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8205738492 and 8205738501.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7306419 + ... + 7307541.

It is an arithmetic number, because the mean of its divisors is an integer number (241169936).

Almost surely, 2^8205738540 is an apocalyptic number.

It is an amenable number.

8205738540 is an abundant number, since it is smaller than the sum of its proper divisors (14946575316).

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

8205738540 is a wasteful number, since it uses less digits than its factorization.

8205738540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 8205738540 is about 90585.5316261929. The cubic root of 8205738540 is about 2016.9999694384. Note that the first 4 decimals are identical.

The spelling of 8205738540 in words is "eight billion, two hundred five million, seven hundred thirty-eight thousand, five hundred forty".