6504727680 has 960 divisors, whose sum is σ = 27478475640. Its totient is φ = 1459814400.

The previous prime is 6504727673. The next prime is 6504727699. The reversal of 6504727680 is 867274056.

6504727680 is a `hidden beast` number, since 6 + 504 + 72 + 76 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4321221696 + 2183505984 = 65736^2 + 46728^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×6504727680² = 84622964381916364800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 106634850 + ... + 106634910.

Almost surely, 2^6504727680 is an apocalyptic number.

6504727680 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 6504727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13739237820).

6504727680 is an abundant number, since it is smaller than the sum of its proper divisors (20973747960).

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

6504727680 is a wasteful number, since it uses less digits than its factorization.

6504727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 6504727680 is about 80651.8919802877. The cubic root of 6504727680 is about 1866.7079333281.

The spelling of 6504727680 in words is "six billion, five hundred four million, seven hundred twenty-seven thousand, six hundred eighty".