6457715712 has 352 divisors, whose sum is σ = 22255639040. Its totient is φ = 1811496960.

The previous prime is 6457715711. The next prime is 6457715713. The reversal of 6457715712 is 2175177546.

6457715712 is a `hidden beast` number, since 6 + 4 + 5 + 7 + 71 + 571 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (6457715711) and next prime (6457715713).

It is not an unprimeable number, because it can be changed into a prime (6457715711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11805423 + ... + 11805969.

Almost surely, 2^6457715712 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 6457715712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11127819520).

6457715712 is an abundant number, since it is smaller than the sum of its proper divisors (15797923328).

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

6457715712 is a wasteful number, since it uses less digits than its factorization.

6457715712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 620 counting only the distinct ones).

The product of its digits is 411600, while the sum is 45.

The square root of 6457715712 is about 80359.9135888037. The cubic root of 6457715712 is about 1862.1999359969.

The spelling of 6457715712 in words is "six billion, four hundred fifty-seven million, seven hundred fifteen thousand, seven hundred twelve".