4608888064 has 216 divisors, whose sum is σ = 10961072640. Its totient is φ = 1926144000.

The previous prime is 4608888041. The next prime is 4608888157.

4608888064 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24130209 + ... + 24130399.

Almost surely, 2^4608888064 is an apocalyptic number.

4608888064 is a gapful number since it is divisible by the number (44) 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 4608888064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5480536320).

4608888064 is an abundant number, since it is smaller than the sum of its proper divisors (6352184576).

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

4608888064 is a wasteful number, since it uses less digits than its factorization.

4608888064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 52.

The square root of 4608888064 is about 67888.7918879103. The cubic root of 4608888064 is about 1664.1739524753.

The spelling of 4608888064 in words is "four billion, six hundred eight million, eight hundred eighty-eight thousand, sixty-four".