4632442364 has 48 divisors (see below), whose sum is σ = 9317212800. Its totient is φ = 1993118400.

The previous prime is 4632442363. The next prime is 4632442379.

4632442364 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4632442363) 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, 1694879 + ... + 1697609.

It is an arithmetic number, because the mean of its divisors is an integer number (194108600).

Almost surely, 2^4632442364 is an apocalyptic number.

4632442364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4632442364 is an abundant number, since it is smaller than the sum of its proper divisors (4684770436).

4632442364 is a wasteful number, since it uses less digits than its factorization.

4632442364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4794 (or 4792 counting only the distinct ones).

The product of its digits is 331776, while the sum is 38.

The square root of 4632442364 is about 68062.0478974884. The cubic root of 4632442364 is about 1667.0041264590.

It can be divided in two parts, 46324 and 42364, that added together give a palindrome (88688).

The spelling of 4632442364 in words is "four billion, six hundred thirty-two million, four hundred forty-two thousand, three hundred sixty-four".