6268806720 has 252 divisors, whose sum is σ = 23701789020. Its totient is φ = 1519626240.

The previous prime is 6268806707. The next prime is 6268806767. The reversal of 6268806720 is 276088626.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3591365184 + 2677441536 = 59928^2 + 51744^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 339486 + ... + 357474.

Almost surely, 2^6268806720 is an apocalyptic number.

6268806720 is a gapful number since it is divisible by the number (60) 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 6268806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11850894510).

6268806720 is an abundant number, since it is smaller than the sum of its proper divisors (17432982300).

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

6268806720 is a wasteful number, since it uses less digits than its factorization.

6268806720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18034 (or 18010 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 6268806720 is about 79175.7963016476. The cubic root of 6268806720 is about 1843.8614872047.

The spelling of 6268806720 in words is "six billion, two hundred sixty-eight million, eight hundred six thousand, seven hundred twenty".