6284767968 has 240 divisors, whose sum is σ = 18933336576. Its totient is φ = 2044673280.

The previous prime is 6284767967. The next prime is 6284768011. The reversal of 6284767968 is 8697674826.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6284767967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28182705 + ... + 28182927.

Almost surely, 2^6284767968 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 6284767968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9466668288).

6284767968 is an abundant number, since it is smaller than the sum of its proper divisors (12648568608).

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

6284767968 is a wasteful number, since it uses less digits than its factorization.

6284767968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 442 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The square root of 6284767968 is about 79276.5284810075. The cubic root of 6284767968 is about 1845.4250696197.

The spelling of 6284767968 in words is "six billion, two hundred eighty-four million, seven hundred sixty-seven thousand, nine hundred sixty-eight".