6457686912 has 192 divisors, whose sum is σ = 19786572000. Its totient is φ = 2014543872.

The previous prime is 6457686841. The next prime is 6457686953. The reversal of 6457686912 is 2196867546.

6457686912 is a `hidden beast` number, since 6 + 4 + 576 + 8 + 69 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 3896388 + ... + 3898044.

Almost surely, 2^6457686912 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 6457686912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9893286000).

6457686912 is an abundant number, since it is smaller than the sum of its proper divisors (13328885088).

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

6457686912 is a wasteful number, since it uses less digits than its factorization.

6457686912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1878 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 6457686912 is about 80359.7343947826. The cubic root of 6457686912 is about 1862.1971676579.

The spelling of 6457686912 in words is "six billion, four hundred fifty-seven million, six hundred eighty-six thousand, nine hundred twelve".