6863826312 has 288 divisors, whose sum is σ = 22587102720. Its totient is φ = 1875363840.

The previous prime is 6863826311. The next prime is 6863826341. The reversal of 6863826312 is 2136283686.

It is a happy number.

6863826312 is a `hidden beast` number, since 6 + 8 + 6 + 3 + 8 + 2 + 631 + 2 = 666.

It is a super-2 number, since 2×6863826312² = 94224223282607042688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6863826311) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10608373 + ... + 10609019.

It is an arithmetic number, because the mean of its divisors is an integer number (78427440).

Almost surely, 2^6863826312 is an apocalyptic number.

6863826312 is a gapful number since it is divisible by the number (62) 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 6863826312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11293551360).

6863826312 is an abundant number, since it is smaller than the sum of its proper divisors (15723276408).

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

6863826312 is a wasteful number, since it uses less digits than its factorization.

6863826312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 787 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 6863826312 is about 82848.2124852432. The cubic root of 6863826312 is about 1900.4455383598.

The spelling of 6863826312 in words is "six billion, eight hundred sixty-three million, eight hundred twenty-six thousand, three hundred twelve".