6345005436 has 288 divisors, whose sum is σ = 20466141696. Its totient is φ = 1609920000.

The previous prime is 6345005417. The next prime is 6345005441.

6345005436 is a `hidden beast` number, since 63 + 4 + 50 + 0 + 543 + 6 = 666.

6345005436 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 self number, because there is not a number n which added to its sum of digits gives 6345005436.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36676246 + ... + 36676418.

It is an arithmetic number, because the mean of its divisors is an integer number (71062992).

Almost surely, 2^6345005436 is an apocalyptic number.

6345005436 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 6345005436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10233070848).

6345005436 is an abundant number, since it is smaller than the sum of its proper divisors (14121136260).

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

6345005436 is a wasteful number, since it uses less digits than its factorization.

6345005436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 428 counting only the distinct ones).

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

The square root of 6345005436 is about 79655.5424060373. The cubic root of 6345005436 is about 1851.3022665261.

It can be divided in two parts, 634500 and 5436, that added together give a palindrome (639936).

The spelling of 6345005436 in words is "six billion, three hundred forty-five million, five thousand, four hundred thirty-six".