6504600960 has 768 divisors, whose sum is σ = 27066312000. Its totient is φ = 1418526720.

The previous prime is 6504600937. The next prime is 6504601001. The reversal of 6504600960 is 690064056.

It is a happy number.

6504600960 is a `hidden beast` number, since 6 + 504 + 60 + 0 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43654966 + ... + 43655114.

Almost surely, 2^6504600960 is an apocalyptic number.

6504600960 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 6504600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13533156000).

6504600960 is an abundant number, since it is smaller than the sum of its proper divisors (20561711040).

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

6504600960 is a wasteful number, since it uses less digits than its factorization.

6504600960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6504600960 is about 80651.1063780281. The cubic root of 6504600960 is about 1866.6958113363.

The spelling of 6504600960 in words is "six billion, five hundred four million, six hundred thousand, nine hundred sixty".