6458763264 has 96 divisors (see below), whose sum is σ = 17262292320. Its totient is φ = 2147532800.

The previous prime is 6458763247. The next prime is 6458763277. The reversal of 6458763264 is 4623678546.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3015634 + ... + 3017774.

It is an arithmetic number, because the mean of its divisors is an integer number (179815545).

Almost surely, 2^6458763264 is an apocalyptic number.

6458763264 is a gapful number since it is divisible by the number (64) 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 6458763264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8631146160).

6458763264 is an abundant number, since it is smaller than the sum of its proper divisors (10803529056).

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

6458763264 is a wasteful number, since it uses less digits than its factorization.

6458763264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657 (or 2637 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 51.

The square root of 6458763264 is about 80366.4312010929. The cubic root of 6458763264 is about 1862.3006241185.

The spelling of 6458763264 in words is "six billion, four hundred fifty-eight million, seven hundred sixty-three thousand, two hundred sixty-four".