6455328768 has 384 divisors, whose sum is σ = 22082673600. Its totient is φ = 1778909184.

The previous prime is 6455328743. The next prime is 6455328769. The reversal of 6455328768 is 8678235546.

6455328768 is a `hidden beast` number, since 6 + 4 + 553 + 2 + 87 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (6455328769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109412323 + ... + 109412381.

Almost surely, 2^6455328768 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 6455328768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11041336800).

6455328768 is an abundant number, since it is smaller than the sum of its proper divisors (15627344832).

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

6455328768 is an equidigital number, since it uses as much as digits as its factorization.

6455328768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 124 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The square root of 6455328768 is about 80345.0606322504. The cubic root of 6455328768 is about 1861.9704681306.

The spelling of 6455328768 in words is "six billion, four hundred fifty-five million, three hundred twenty-eight thousand, seven hundred sixty-eight".