6429570048 has 440 divisors, whose sum is σ = 21756826080. Its totient is φ = 1881169920.

The previous prime is 6429570001. The next prime is 6429570071. The reversal of 6429570048 is 8400759246.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 6429569985 and 6429570012.

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 39 ways as a sum of consecutive naturals, for example, 221709298 + ... + 221709326.

It is an arithmetic number, because the mean of its divisors is an integer number (49447332).

Almost surely, 2^6429570048 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 6429570048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10878413040).

6429570048 is an abundant number, since it is smaller than the sum of its proper divisors (15327256032).

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

6429570048 is an frugal number, since it uses more digits than its factorization.

6429570048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6429570048 is about 80184.5998181696. The cubic root of 6429570048 is about 1859.4905576701.

The spelling of 6429570048 in words is "six billion, four hundred twenty-nine million, five hundred seventy thousand, forty-eight".