6385010268 has 144 divisors (see below), whose sum is σ = 19646632320. Its totient is φ = 1595293056.

The previous prime is 6385010221. The next prime is 6385010323. The reversal of 6385010268 is 8620105836.

It is a happy number.

It is a super-2 number, since 2×6385010268² = 81536712244930863648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 123255 + ... + 167217.

Almost surely, 2^6385010268 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 6385010268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9823316160).

6385010268 is an abundant number, since it is smaller than the sum of its proper divisors (13261622052).

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

6385010268 is a wasteful number, since it uses less digits than its factorization.

6385010268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44016 (or 44007 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 6385010268 is about 79906.2592542036. The cubic root of 6385010268 is about 1855.1848967235.

The spelling of 6385010268 in words is "six billion, three hundred eighty-five million, ten thousand, two hundred sixty-eight".