6342332436 has 72 divisors (see below), whose sum is σ = 17554773600. Its totient is φ = 1914742080.

The previous prime is 6342332417. The next prime is 6342332489.

6342332436 is nontrivially palindromic in base 10.

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 a self number, because there is not a number n which added to its sum of digits gives 6342332436.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76755 + ... + 136293.

It is an arithmetic number, because the mean of its divisors is an integer number (243816300).

Almost surely, 2^6342332436 is an apocalyptic number.

6342332436 is a gapful number since it is divisible by the number (66) 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 6342332436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8777386800).

6342332436 is an abundant number, since it is smaller than the sum of its proper divisors (11212441164).

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

6342332436 is a wasteful number, since it uses less digits than its factorization.

6342332436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59829 (or 59824 counting only the distinct ones).

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

The square root of 6342332436 is about 79638.7621450761. The cubic root of 6342332436 is about 1851.0422601284.

It can be divided in two parts, 63423 and 32436, that added together give a palindrome (95859).

The spelling of 6342332436 in words is "six billion, three hundred forty-two million, three hundred thirty-two thousand, four hundred thirty-six".