4632332364 has 144 divisors (see below), whose sum is σ = 13168340640. Its totient is φ = 1360696320.

The previous prime is 4632332347. The next prime is 4632332381.

4632332364 is a `hidden beast` number, since 4 + 6 + 323 + 323 + 6 + 4 = 666.

4632332364 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4632332347) and next prime (4632332381).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5992282 + ... + 5993054.

It is an arithmetic number, because the mean of its divisors is an integer number (91446810).

Almost surely, 2^4632332364 is an apocalyptic number.

4632332364 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 4632332364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6584170320).

4632332364 is an abundant number, since it is smaller than the sum of its proper divisors (8536008276).

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

4632332364 is a wasteful number, since it uses less digits than its factorization.

4632332364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1235 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

The square root of 4632332364 is about 68061.2398065154. The cubic root of 4632332364 is about 1666.9909316983.

It can be divided in two parts, 46323 and 32364, that added together give a palindrome (78687).

The spelling of 4632332364 in words is "four billion, six hundred thirty-two million, three hundred thirty-two thousand, three hundred sixty-four".