6863141376 has 360 divisors, whose sum is σ = 24531867360. Its totient is φ = 1808621568.

The previous prime is 6863141371. The next prime is 6863141407. The reversal of 6863141376 is 6731413686.

6863141376 is a `hidden beast` number, since 6 + 8 + 631 + 4 + 1 + 3 + 7 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6863141371) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5450635 + ... + 5451893.

It is an arithmetic number, because the mean of its divisors is an integer number (68144076).

Almost surely, 2^6863141376 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 6863141376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12265933680).

6863141376 is an abundant number, since it is smaller than the sum of its proper divisors (17668725984).

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

6863141376 is a wasteful number, since it uses less digits than its factorization.

6863141376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1284 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 6863141376 is about 82844.0787021016. The cubic root of 6863141376 is about 1900.3823215860.

The spelling of 6863141376 in words is "six billion, eight hundred sixty-three million, one hundred forty-one thousand, three hundred seventy-six".