6471687456 has 240 divisors, whose sum is σ = 20650707000. Its totient is φ = 1976389632.

The previous prime is 6471687389. The next prime is 6471687461. The reversal of 6471687456 is 6547861746.

6471687456 is a `hidden beast` number, since 64 + 71 + 68 + 7 + 456 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4175744400 + 2295943056 = 64620^2 + 47916^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5020060 + ... + 5021348.

Almost surely, 2^6471687456 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 6471687456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10325353500).

6471687456 is an abundant number, since it is smaller than the sum of its proper divisors (14179019544).

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

6471687456 is a wasteful number, since it uses less digits than its factorization.

6471687456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1456 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 6471687456 is about 80446.7989170483. The cubic root of 6471687456 is about 1863.5419708783.

The spelling of 6471687456 in words is "six billion, four hundred seventy-one million, six hundred eighty-seven thousand, four hundred fifty-six".