4635005364 has 36 divisors (see below), whose sum is σ = 12781379520. Its totient is φ = 1404546960.

The previous prime is 4635005363. The next prime is 4635005377.

4635005364 is a `hidden beast` number, since 46 + 3 + 500 + 53 + 64 = 666.

4635005364 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4635005363) 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, 5851884 + ... + 5852675.

It is an arithmetic number, because the mean of its divisors is an integer number (355038320).

Almost surely, 2^4635005364 is an apocalyptic number.

4635005364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4635005364 is an abundant number, since it is smaller than the sum of its proper divisors (8146374156).

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

4635005364 is a wasteful number, since it uses less digits than its factorization.

4635005364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11704580 (or 11704575 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 4635005364 is about 68080.8737017967. The cubic root of 4635005364 is about 1667.3115052688.

It can be divided in two parts, 463500 and 5364, that added together give a palindrome (468864).

The spelling of 4635005364 in words is "four billion, six hundred thirty-five million, five thousand, three hundred sixty-four".