6424057728 has 256 divisors, whose sum is σ = 21400416000. Its totient is φ = 1879234560.

The previous prime is 6424057709. The next prime is 6424057729. The reversal of 6424057728 is 8277504246.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6424057729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1099551 + ... + 1105377.

It is an arithmetic number, because the mean of its divisors is an integer number (83595375).

Almost surely, 2^6424057728 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 6424057728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10700208000).

6424057728 is an abundant number, since it is smaller than the sum of its proper divisors (14976358272).

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

6424057728 is a wasteful number, since it uses less digits than its factorization.

6424057728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5890 (or 5872 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 6424057728 is about 80150.2197626432. The cubic root of 6424057728 is about 1858.9590012528.

The spelling of 6424057728 in words is "six billion, four hundred twenty-four million, fifty-seven thousand, seven hundred twenty-eight".