6497427456 has 168 divisors, whose sum is σ = 20215966680. Its totient is φ = 1998913536.

The previous prime is 6497427449. The next prime is 6497427457. The reversal of 6497427456 is 6547247946.

6497427456 is a `hidden beast` number, since 64 + 97 + 42 + 7 + 456 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6497427457) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 955075 + ... + 961853.

It is an arithmetic number, because the mean of its divisors is an integer number (120333135).

Almost surely, 2^6497427456 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 6497427456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10107983340).

6497427456 is an abundant number, since it is smaller than the sum of its proper divisors (13718539224).

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

6497427456 is a wasteful number, since it uses less digits than its factorization.

6497427456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6824 (or 6797 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The square root of 6497427456 is about 80606.6216634837. The cubic root of 6497427456 is about 1866.0093395314.

The spelling of 6497427456 in words is "six billion, four hundred ninety-seven million, four hundred twenty-seven thousand, four hundred fifty-six".