8205760644 has 48 divisors (see below), whose sum is σ = 19575107328. Its totient is φ = 2674188288.

The previous prime is 8205760561. The next prime is 8205760657. The reversal of 8205760644 is 4460675028.

It is a junction number, because it is equal to n+sod(n) for n = 8205760596 and 8205760605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555012 + ... + 569604.

It is an arithmetic number, because the mean of its divisors is an integer number (407814736).

Almost surely, 2^8205760644 is an apocalyptic number.

It is an amenable number.

8205760644 is an abundant number, since it is smaller than the sum of its proper divisors (11369346684).

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

8205760644 is a wasteful number, since it uses less digits than its factorization.

8205760644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15644 (or 15642 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 8205760644 is about 90585.6536323495. The cubic root of 8205760644 is about 2017.0017805176.

The spelling of 8205760644 in words is "eight billion, two hundred five million, seven hundred sixty thousand, six hundred forty-four".