6309935424 has 672 divisors, whose sum is σ = 22489850880. Its totient is φ = 1725235200.

The previous prime is 6309935381. The next prime is 6309935453. The reversal of 6309935424 is 4245399036.

6309935424 is a `hidden beast` number, since 630 + 9 + 9 + 3 + 5 + 4 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6309935424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153900844 + ... + 153900884.

It is an arithmetic number, because the mean of its divisors is an integer number (33467040).

Almost surely, 2^6309935424 is an apocalyptic number.

6309935424 is a gapful number since it is divisible by the number (64) 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 6309935424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11244925440).

6309935424 is an abundant number, since it is smaller than the sum of its proper divisors (16179915456).

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

6309935424 is a wasteful number, since it uses less digits than its factorization.

6309935424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 6309935424 is about 79435.1019638044. The cubic root of 6309935424 is about 1847.8851336936.

The spelling of 6309935424 in words is "six billion, three hundred nine million, nine hundred thirty-five thousand, four hundred twenty-four".