6506712576 has 480 divisors, whose sum is σ = 23593489920. Its totient is φ = 1680556032.

The previous prime is 6506712557. The next prime is 6506712607. The reversal of 6506712576 is 6752176056.

6506712576 is a `hidden beast` number, since 6 + 5 + 0 + 6 + 71 + 2 + 576 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24740221 + ... + 24740483.

It is an arithmetic number, because the mean of its divisors is an integer number (49153104).

Almost surely, 2^6506712576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6506712576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11796744960).

6506712576 is an abundant number, since it is smaller than the sum of its proper divisors (17086777344).

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

6506712576 is a wasteful number, since it uses less digits than its factorization.

6506712576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 6506712576 is about 80664.1963698889. The cubic root of 6506712576 is about 1866.8977872557.

The spelling of 6506712576 in words is "six billion, five hundred six million, seven hundred twelve thousand, five hundred seventy-six".