4629559264 has 96 divisors (see below), whose sum is σ = 10126771200. Its totient is φ = 2065789440.

The previous prime is 4629559261. The next prime is 4629559271.

4629559264 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 (4629559261) 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, 6367669 + ... + 6368395.

It is an arithmetic number, because the mean of its divisors is an integer number (105487200).

Almost surely, 2^4629559264 is an apocalyptic number.

4629559264 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 4629559264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5063385600).

4629559264 is an abundant number, since it is smaller than the sum of its proper divisors (5497211936).

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

4629559264 is a wasteful number, since it uses less digits than its factorization.

4629559264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1048 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 52.

The square root of 4629559264 is about 68040.8646623483. The cubic root of 4629559264 is about 1666.6582227483.

The spelling of 4629559264 in words is "four billion, six hundred twenty-nine million, five hundred fifty-nine thousand, two hundred sixty-four".