6565828140 has 96 divisors (see below), whose sum is σ = 20475141120. Its totient is φ = 1746763200.

The previous prime is 6565828133. The next prime is 6565828141. The reversal of 6565828140 is 418285656.

6565828140 is a `hidden beast` number, since 6 + 56 + 582 + 8 + 14 + 0 = 666.

It is a super-2 number, since 2×6565828140² = 86220198328031719200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6565828141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218635 + ... + 246845.

It is an arithmetic number, because the mean of its divisors is an integer number (213282720).

Almost surely, 2^6565828140 is an apocalyptic number.

6565828140 is a gapful number since it is divisible by the number (60) 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 6565828140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10237570560).

6565828140 is an abundant number, since it is smaller than the sum of its proper divisors (13909312980).

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

6565828140 is a wasteful number, since it uses less digits than its factorization.

6565828140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28660 (or 28652 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 6565828140 is about 81029.7978523950. The cubic root of 6565828140 is about 1872.5345387547.

The spelling of 6565828140 in words is "six billion, five hundred sixty-five million, eight hundred twenty-eight thousand, one hundred forty".