6505059456 has 448 divisors, whose sum is σ = 23224763520. Its totient is φ = 1773674496.

The previous prime is 6505059427. The next prime is 6505059461. The reversal of 6505059456 is 6549505056.

6505059456 is a `hidden beast` number, since 6 + 5 + 0 + 5 + 0 + 594 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15023016 + ... + 15023448.

It is an arithmetic number, because the mean of its divisors is an integer number (51840990).

Almost surely, 2^6505059456 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 6505059456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612381760).

6505059456 is an abundant number, since it is smaller than the sum of its proper divisors (16719704064).

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

6505059456 is an equidigital number, since it uses as much as digits as its factorization.

6505059456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The square root of 6505059456 is about 80653.9487935960. The cubic root of 6505059456 is about 1866.7396701607.

The spelling of 6505059456 in words is "six billion, five hundred five million, fifty-nine thousand, four hundred fifty-six".