6268956768 has 240 divisors, whose sum is σ = 19083723120. Its totient is φ = 2025616896.

The previous prime is 6268956761. The next prime is 6268956769. The reversal of 6268956768 is 8676598626.

6268956768 is a `hidden beast` number, since 6 + 2 + 6 + 8 + 9 + 567 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6268956761) 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, 23304538 + ... + 23304806.

It is an arithmetic number, because the mean of its divisors is an integer number (79515513).

Almost surely, 2^6268956768 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 6268956768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9541861560).

6268956768 is an abundant number, since it is smaller than the sum of its proper divisors (12814766352).

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

6268956768 is an frugal number, since it uses more digits than its factorization.

6268956768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 311 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The square root of 6268956768 is about 79176.7438582820. The cubic root of 6268956768 is about 1843.8761984319.

The spelling of 6268956768 in words is "six billion, two hundred sixty-eight million, nine hundred fifty-six thousand, seven hundred sixty-eight".