8495577909 has 144 divisors (see below), whose sum is σ = 16555659120. Its totient is φ = 4145541120.

The previous prime is 8495577899. The next prime is 8495577911. The reversal of 8495577909 is 9097755948.

8495577909 is a `hidden beast` number, since 8 + 4 + 9 + 557 + 79 + 0 + 9 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2796082884 + 5699495025 = 52878^2 + 75495^2 .

It is not a de Polignac number, because 8495577909 - 2⁸ = 8495577653 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8495577949) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5944407 + ... + 5945835.

It is an arithmetic number, because the mean of its divisors is an integer number (114969855).

Almost surely, 2^8495577909 is an apocalyptic number.

It is an amenable number.

8495577909 is a deficient number, since it is larger than the sum of its proper divisors (8060081211).

8495577909 is a wasteful number, since it uses less digits than its factorization.

8495577909 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 63.

The square root of 8495577909 is about 92171.4592973335. The cubic root of 8495577909 is about 2040.4735787773.

The spelling of 8495577909 in words is "eight billion, four hundred ninety-five million, five hundred seventy-seven thousand, nine hundred nine".