6833268864 has 192 divisors, whose sum is σ = 21592902240. Its totient is φ = 2143604736.

The previous prime is 6833268823. The next prime is 6833268877. The reversal of 6833268864 is 4688623386.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6833268864.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 522307 + ... + 535229.

Almost surely, 2^6833268864 is an apocalyptic number.

6833268864 is a gapful number since it is divisible by the number (64) 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 6833268864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10796451120).

6833268864 is an abundant number, since it is smaller than the sum of its proper divisors (14759633376).

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

6833268864 is a wasteful number, since it uses less digits than its factorization.

6833268864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12969 (or 12945 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The square root of 6833268864 is about 82663.5885018307. The cubic root of 6833268864 is about 1897.6211099252.

The spelling of 6833268864 in words is "six billion, eight hundred thirty-three million, two hundred sixty-eight thousand, eight hundred sixty-four".