6268307136 has 448 divisors, whose sum is σ = 21498494976. Its totient is φ = 1567641600.

The previous prime is 6268307117. The next prime is 6268307161. The reversal of 6268307136 is 6317038626.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 38455791 + ... + 38455953.

It is an arithmetic number, because the mean of its divisors is an integer number (47987712).

Almost surely, 2^6268307136 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 6268307136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10749247488).

6268307136 is an abundant number, since it is smaller than the sum of its proper divisors (15230187840).

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

6268307136 is a wasteful number, since it uses less digits than its factorization.

6268307136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 6268307136 is about 79172.6413352491. The cubic root of 6268307136 is about 1843.8125045615.

The spelling of 6268307136 in words is "six billion, two hundred sixty-eight million, three hundred seven thousand, one hundred thirty-six".