8653782564 has 72 divisors (see below), whose sum is σ = 25019100288. Its totient is φ = 2470602240.

The previous prime is 8653782559. The next prime is 8653782569. The reversal of 8653782564 is 4652873568.

8653782564 is a `hidden beast` number, since 8 + 6 + 5 + 3 + 78 + 2 + 564 = 666.

It is an interprime number because it is at equal distance from previous prime (8653782559) and next prime (8653782569).

It is a self number, because there is not a number n which added to its sum of digits gives 8653782564.

It is not an unprimeable number, because it can be changed into a prime (8653782569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331924 + ... + 357044.

It is an arithmetic number, because the mean of its divisors is an integer number (347487504).

Almost surely, 2^8653782564 is an apocalyptic number.

8653782564 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8653782564 is an abundant number, since it is smaller than the sum of its proper divisors (16365317724).

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

8653782564 is a wasteful number, since it uses less digits than its factorization.

8653782564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26505 (or 26500 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The square root of 8653782564 is about 93025.7091561252. The cubic root of 8653782564 is about 2053.0616606496.

The spelling of 8653782564 in words is "eight billion, six hundred fifty-three million, seven hundred eighty-two thousand, five hundred sixty-four".