6562539648 has 512 divisors, whose sum is σ = 23847436800. Its totient is φ = 1755758592.

The previous prime is 6562539629. The next prime is 6562539649. The reversal of 6562539648 is 8469352656.

6562539648 is a `hidden beast` number, since 6 + 5 + 62 + 539 + 6 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (9331200) is a multiple of the sum of its prime factors (256).

It is a junction number, because it is equal to n+sod(n) for n = 6562539594 and 6562539603.

It is not an unprimeable number, because it can be changed into a prime (6562539649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33312286 + ... + 33312482.

It is an arithmetic number, because the mean of its divisors is an integer number (46577025).

Almost surely, 2^6562539648 is an apocalyptic number.

6562539648 is a gapful number since it is divisible by the number (68) 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 6562539648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11923718400).

6562539648 is an abundant number, since it is smaller than the sum of its proper divisors (17284897152).

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

6562539648 is an equidigital number, since it uses as much as digits as its factorization.

6562539648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 226 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The square root of 6562539648 is about 81009.5034424974. The cubic root of 6562539648 is about 1872.2218671947.

The spelling of 6562539648 in words is "six billion, five hundred sixty-two million, five hundred thirty-nine thousand, six hundred forty-eight".