6506967672 has 48 divisors (see below), whose sum is σ = 17871263280. Its totient is φ = 2138438400.

The previous prime is 6506967653. The next prime is 6506967737. The reversal of 6506967672 is 2767696056.

6506967672 is a `hidden beast` number, since 6 + 506 + 9 + 67 + 6 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 631329 + ... + 641552.

It is an arithmetic number, because the mean of its divisors is an integer number (372317985).

Almost surely, 2^6506967672 is an apocalyptic number.

It is an amenable number.

6506967672 is an abundant number, since it is smaller than the sum of its proper divisors (11364295608).

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

6506967672 is a wasteful number, since it uses less digits than its factorization.

6506967672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272964 (or 1272957 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 6506967672 is about 80665.7775763675. Note that the first 3 decimals coincide. The cubic root of 6506967672 is about 1866.9221842114.

The spelling of 6506967672 in words is "six billion, five hundred six million, nine hundred sixty-seven thousand, six hundred seventy-two".