4602882064 has 80 divisors (see below), whose sum is σ = 9874992960. Its totient is φ = 2060974080.

The previous prime is 4602882049. The next prime is 4602882101.

4602882064 is nontrivially palindromic in base 10.

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 15 ways as a sum of consecutive naturals, for example, 7158127 + ... + 7158769.

It is an arithmetic number, because the mean of its divisors is an integer number (123437412).

Almost surely, 2^4602882064 is an apocalyptic number.

4602882064 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 4602882064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4937496480).

4602882064 is an abundant number, since it is smaller than the sum of its proper divisors (5272110896).

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

4602882064 is a wasteful number, since it uses less digits than its factorization.

4602882064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 4602882064 is about 67844.5433620125. The cubic root of 4602882064 is about 1663.4507575393.

The spelling of 4602882064 in words is "four billion, six hundred two million, eight hundred eighty-two thousand, sixty-four".