6448604967 has 168 divisors, whose sum is σ = 12057486336. Its totient is φ = 3429052704.

The previous prime is 6448604957. The next prime is 6448604983. The reversal of 6448604967 is 7694068446.

6448604967 is a `hidden beast` number, since 64 + 486 + 0 + 49 + 67 = 666.

It is not a de Polignac number, because 6448604967 - 2¹⁵ = 6448572199 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6448604957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 38614318 + ... + 38614484.

It is an arithmetic number, because the mean of its divisors is an integer number (71770752).

Almost surely, 2^6448604967 is an apocalyptic number.

6448604967 is a deficient number, since it is larger than the sum of its proper divisors (5608881369).

6448604967 is a wasteful number, since it uses less digits than its factorization.

6448604967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The square root of 6448604967 is about 80303.2064552842. The cubic root of 6448604967 is about 1861.3237740791.

The spelling of 6448604967 in words is "six billion, four hundred forty-eight million, six hundred four thousand, nine hundred sixty-seven".