6648632064 has 144 divisors (see below), whose sum is σ = 20033244000. Its totient is φ = 2174275584.

The previous prime is 6648632063. The next prime is 6648632087. The reversal of 6648632064 is 4602368466.

6648632064 is a `hidden beast` number, since 6 + 6 + 4 + 8 + 632 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (6648632063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357262 + ... + 375410.

It is an arithmetic number, because the mean of its divisors is an integer number (139119750).

Almost surely, 2^6648632064 is an apocalyptic number.

6648632064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6648632064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10016622000).

6648632064 is an abundant number, since it is smaller than the sum of its proper divisors (13384611936).

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

6648632064 is a wasteful number, since it uses less digits than its factorization.

6648632064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18227 (or 18207 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 6648632064 is about 81539.1443663717. The cubic root of 6648632064 is about 1880.3734040252.

The spelling of 6648632064 in words is "six billion, six hundred forty-eight million, six hundred thirty-two thousand, sixty-four".