6448416957 has 24 divisors (see below), whose sum is σ = 9394368984. Its totient is φ = 4262181504.

The previous prime is 6448416937. The next prime is 6448416959. The reversal of 6448416957 is 7596148446.

6448416957 is a `hidden beast` number, since 64 + 484 + 16 + 95 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3872448441 + 2575968516 = 62229^2 + 50754^2 .

It is not a de Polignac number, because 6448416957 - 2⁶ = 6448416893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6448416959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 513283 + ... + 525695.

It is an arithmetic number, because the mean of its divisors is an integer number (391432041).

Almost surely, 2^6448416957 is an apocalyptic number.

It is an amenable number.

6448416957 is a deficient number, since it is larger than the sum of its proper divisors (2945952027).

6448416957 is a wasteful number, since it uses less digits than its factorization.

6448416957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12909 (or 12906 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 6448416957 is about 80302.0358210176. The cubic root of 6448416957 is about 1861.3056848497.

The spelling of 6448416957 in words is "six billion, four hundred forty-eight million, four hundred sixteen thousand, nine hundred fifty-seven".