6433125336 has 192 divisors, whose sum is σ = 20497276800. Its totient is φ = 1801612800.

The previous prime is 6433125311. The next prime is 6433125359. The reversal of 6433125336 is 6335213346.

6433125336 is a `hidden beast` number, since 6 + 4 + 3 + 312 + 5 + 336 = 666.

It is a super-2 number, since 2×6433125336² = 82770203177370225792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 6433125336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611755 + ... + 622181.

It is an arithmetic number, because the mean of its divisors is an integer number (106756650).

Almost surely, 2^6433125336 is an apocalyptic number.

6433125336 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 6433125336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10248638400).

6433125336 is an abundant number, since it is smaller than the sum of its proper divisors (14064151464).

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

6433125336 is a wasteful number, since it uses less digits than its factorization.

6433125336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10510 (or 10503 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

The square root of 6433125336 is about 80206.7661484990. The cubic root of 6433125336 is about 1859.8332351353.

It can be divided in two parts, 6433 and 125336, that added together give a square (131769 = 363²).

The spelling of 6433125336 in words is "six billion, four hundred thirty-three million, one hundred twenty-five thousand, three hundred thirty-six".