6507661536 has 72 divisors (see below), whose sum is σ = 18809592984. Its totient is φ = 2133653760.

The previous prime is 6507661513. The next prime is 6507661541. The reversal of 6507661536 is 6351667056.

6507661536 is a `hidden beast` number, since 6 + 50 + 7 + 6 + 61 + 536 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6507661491 and 6507661500.

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, 167646 + ... + 202781.

It is an arithmetic number, because the mean of its divisors is an integer number (261244347).

Almost surely, 2^6507661536 is an apocalyptic number.

It is an amenable number.

6507661536 is an abundant number, since it is smaller than the sum of its proper divisors (12301931448).

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

6507661536 is a wasteful number, since it uses less digits than its factorization.

6507661536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370504 (or 370493 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 6507661536 is about 80670.0783190397. The cubic root of 6507661536 is about 1866.9885409804.

The spelling of 6507661536 in words is "six billion, five hundred seven million, six hundred sixty-one thousand, five hundred thirty-six".