6455757664 has 72 divisors (see below), whose sum is σ = 13263032664. Its totient is φ = 3090700800.

The previous prime is 6455757619. The next prime is 6455757689. The reversal of 6455757664 is 4667575546.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23821849 + ... + 23822119.

It is an arithmetic number, because the mean of its divisors is an integer number (184208787).

Almost surely, 2^6455757664 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 6455757664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6631516332).

6455757664 is an abundant number, since it is smaller than the sum of its proper divisors (6807275000).

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

6455757664 is an equidigital number, since it uses as much as digits as its factorization.

6455757664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 381 counting only the distinct ones).

The product of its digits is 21168000, while the sum is 55.

The square root of 6455757664 is about 80347.7296754550. The cubic root of 6455757664 is about 1862.0117040371.

It can be divided in two parts, 64557 and 57664, that added together give a palindrome (122221).

The spelling of 6455757664 in words is "six billion, four hundred fifty-five million, seven hundred fifty-seven thousand, six hundred sixty-four".