6463257840 has 320 divisors, whose sum is σ = 24804662400. Its totient is φ = 1535901696.

The previous prime is 6463257817. The next prime is 6463257841. The reversal of 6463257840 is 487523646.

6463257840 is a `hidden beast` number, since 6 + 4 + 6 + 32 + 578 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6463257841) 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 63 ways as a sum of consecutive naturals, for example, 810352 + ... + 818288.

It is an arithmetic number, because the mean of its divisors is an integer number (77514570).

Almost surely, 2^6463257840 is an apocalyptic number.

6463257840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6463257840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12402331200).

6463257840 is an abundant number, since it is smaller than the sum of its proper divisors (18341404560).

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

6463257840 is a wasteful number, since it uses less digits than its factorization.

6463257840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8001 (or 7989 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 6463257840 is about 80394.3893564719. The cubic root of 6463257840 is about 1862.7325081863.

The spelling of 6463257840 in words is "six billion, four hundred sixty-three million, two hundred fifty-seven thousand, eight hundred forty".