6424411136 has 176 divisors, whose sum is σ = 15319879008. Its totient is φ = 2654208000.

The previous prime is 6424411099. The next prime is 6424411141. The reversal of 6424411136 is 6311144246.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 10689236 + ... + 10689836.

Almost surely, 2^6424411136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6424411136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7659939504).

6424411136 is an abundant number, since it is smaller than the sum of its proper divisors (8895467872).

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

6424411136 is a wasteful number, since it uses less digits than its factorization.

6424411136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 700 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 6424411136 is about 80152.4243925285. The cubic root of 6424411136 is about 1858.9930897248.

It can be divided in two parts, 6424 and 411136, that multiplied together give a square (2641137664 = 51392²).

The spelling of 6424411136 in words is "six billion, four hundred twenty-four million, four hundred eleven thousand, one hundred thirty-six".