6471441648 has 320 divisors, whose sum is σ = 22516019200. Its totient is φ = 1738402560.

The previous prime is 6471441619. The next prime is 6471441661. The reversal of 6471441648 is 8461441746.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9364983 + ... + 9365673.

It is an arithmetic number, because the mean of its divisors is an integer number (70362560).

Almost surely, 2^6471441648 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 6471441648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11258009600).

6471441648 is an abundant number, since it is smaller than the sum of its proper divisors (16044577552).

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

6471441648 is a wasteful number, since it uses less digits than its factorization.

6471441648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 885 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 6471441648 is about 80445.2711351015. The cubic root of 6471441648 is about 1863.5183768607.

The spelling of 6471441648 in words is "six billion, four hundred seventy-one million, four hundred forty-one thousand, six hundred forty-eight".