6455160864 has 336 divisors, whose sum is σ = 20347008192. Its totient is φ = 2010438144.

The previous prime is 6455160851. The next prime is 6455160893. The reversal of 6455160864 is 4680615546.

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, 28436719 + ... + 28436945.

It is an arithmetic number, because the mean of its divisors is an integer number (60556572).

Almost surely, 2^6455160864 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 6455160864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10173504096).

6455160864 is an abundant number, since it is smaller than the sum of its proper divisors (13891847328).

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

6455160864 is a wasteful number, since it uses less digits than its factorization.

6455160864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 6455160864 is about 80344.0157323494. The cubic root of 6455160864 is about 1861.9543246203.

The spelling of 6455160864 in words is "six billion, four hundred fifty-five million, one hundred sixty thousand, eight hundred sixty-four".