6268389120 has 432 divisors, whose sum is σ = 25713192960. Its totient is φ = 1432276992.

The previous prime is 6268389119. The next prime is 6268389133. The reversal of 6268389120 is 219838626.

6268389120 is a `hidden beast` number, since 6 + 268 + 389 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2175841 + ... + 2178719.

It is an arithmetic number, because the mean of its divisors is an integer number (59521280).

Almost surely, 2^6268389120 is an apocalyptic number.

6268389120 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 6268389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12856596480).

6268389120 is an abundant number, since it is smaller than the sum of its proper divisors (19444803840).

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

6268389120 is an equidigital number, since it uses as much as digits as its factorization.

6268389120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 6268389120 is about 79173.1590881657. The cubic root of 6268389120 is about 1843.8205430139.

The spelling of 6268389120 in words is "six billion, two hundred sixty-eight million, three hundred eighty-nine thousand, one hundred twenty".