6507533664 has 72 divisors (see below), whose sum is σ = 18519725952. Its totient is φ = 2167545600.

The previous prime is 6507533647. The next prime is 6507533689. The reversal of 6507533664 is 4663357056.

6507533664 is a `hidden beast` number, since 6 + 50 + 7 + 533 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 410689 + ... + 426239.

It is an arithmetic number, because the mean of its divisors is an integer number (257218416).

Almost surely, 2^6507533664 is an apocalyptic number.

It is an amenable number.

6507533664 is an abundant number, since it is smaller than the sum of its proper divisors (12012192288).

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

6507533664 is a wasteful number, since it uses less digits than its factorization.

6507533664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17020 (or 17009 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The square root of 6507533664 is about 80669.2857536250. The cubic root of 6507533664 is about 1866.9763124648.

The spelling of 6507533664 in words is "six billion, five hundred seven million, five hundred thirty-three thousand, six hundred sixty-four".