4602552064 has 72 divisors (see below), whose sum is σ = 10083362688. Its totient is φ = 2079329280.

The previous prime is 4602552061. The next prime is 4602552083.

4602552064 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4602552061) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 465379 + ... + 475165.

It is an arithmetic number, because the mean of its divisors is an integer number (140046704).

Almost surely, 2^4602552064 is an apocalyptic number.

4602552064 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 4602552064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5041681344).

4602552064 is an abundant number, since it is smaller than the sum of its proper divisors (5480810624).

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

4602552064 is a wasteful number, since it uses less digits than its factorization.

4602552064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9981 (or 9967 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 4602552064 is about 67842.1112879014. Note that the first 3 decimals coincide. The cubic root of 4602552064 is about 1663.4110033258.

It can be divided in two parts, 46025 and 52064, that added together give a palindrome (98089).

The spelling of 4602552064 in words is "four billion, six hundred two million, five hundred fifty-two thousand, sixty-four".