6455582064 has 100 divisors (see below), whose sum is σ = 18732884104. Its totient is φ = 2146269312.

The previous prime is 6455582059. The next prime is 6455582071. The reversal of 6455582064 is 4602855546.

6455582064 is a `hidden beast` number, since 6 + 4 + 5 + 5 + 582 + 0 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 508239 + ... + 520785.

Almost surely, 2^6455582064 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 6455582064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9366442052).

6455582064 is an abundant number, since it is smaller than the sum of its proper divisors (12277302040).

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

6455582064 is a wasteful number, since it uses less digits than its factorization.

6455582064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12964 (or 12949 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The square root of 6455582064 is about 80346.6369177951. The cubic root of 6455582064 is about 1861.9948213185.

The spelling of 6455582064 in words is "six billion, four hundred fifty-five million, five hundred eighty-two thousand, sixty-four".