6268800000 has 264 divisors, whose sum is σ = 20916442512. Its totient is φ = 1669120000.

The previous prime is 6268799959. The next prime is 6268800023. The reversal of 6268800000 is 88626.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9599674 + ... + 9600326.

Almost surely, 2^6268800000 is an apocalyptic number.

6268800000 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 6268800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10458221256).

6268800000 is an abundant number, since it is smaller than the sum of its proper divisors (14647642512).

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

6268800000 is an frugal number, since it uses more digits than its factorization.

6268800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 6268800000 is about 79175.7538644249. The cubic root of 6268800000 is about 1843.8608283470.

Adding to 6268800000 its reverse (88626), we get a palindrome (6268888626).

The spelling of 6268800000 in words is "six billion, two hundred sixty-eight million, eight hundred thousand".