6409456648 has 64 divisors (see below), whose sum is σ = 14053772160. Its totient is φ = 2683777536.

The previous prime is 6409456601. The next prime is 6409456649. The reversal of 6409456648 is 8466549046.

It is a happy number.

It is a super-2 number, since 2×6409456648² = 82162269045182791808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6409456595 and 6409456604.

It is not an unprimeable number, because it can be changed into a prime (6409456649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430090 + ... + 444742.

It is an arithmetic number, because the mean of its divisors is an integer number (219590190).

Almost surely, 2^6409456648 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 6409456648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7026886080).

6409456648 is an abundant number, since it is smaller than the sum of its proper divisors (7644315512).

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

6409456648 is a wasteful number, since it uses less digits than its factorization.

6409456648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14846 (or 14842 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 52.

The square root of 6409456648 is about 80059.0822330609. The cubic root of 6409456648 is about 1857.5495390759.

The spelling of 6409456648 in words is "six billion, four hundred nine million, four hundred fifty-six thousand, six hundred forty-eight".