4625005264 has 60 divisors (see below), whose sum is σ = 9892874628. Its totient is φ = 2093048320.

The previous prime is 4625005211. The next prime is 4625005267.

4625005264 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 732243600 + 3892761664 = 27060^2 + 62392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4625005267) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 445962 + ... + 456214.

Almost surely, 2^4625005264 is an apocalyptic number.

4625005264 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 4625005264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4946437314).

4625005264 is an abundant number, since it is smaller than the sum of its proper divisors (5267869364).

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

4625005264 is a wasteful number, since it uses less digits than its factorization.

4625005264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10516 (or 10499 counting only the distinct ones).

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

The square root of 4625005264 is about 68007.3912453639. The cubic root of 4625005264 is about 1666.1115579242. Note that the first 3 decimals are identical.

It can be divided in two parts, 462500 and 5264, that added together give a palindrome (467764).

The spelling of 4625005264 in words is "four billion, six hundred twenty-five million, five thousand, two hundred sixty-four".