6863076864 has 400 divisors, whose sum is σ = 23956466688. Its totient is φ = 1915342848.

The previous prime is 6863076827. The next prime is 6863076929. The reversal of 6863076864 is 4686703686.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6863076864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13644037 + ... + 13644539.

Almost surely, 2^6863076864 is an apocalyptic number.

6863076864 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 6863076864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11978233344).

6863076864 is an abundant number, since it is smaller than the sum of its proper divisors (17093389824).

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

6863076864 is an equidigital number, since it uses as much as digits as its factorization.

6863076864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The square root of 6863076864 is about 82843.6893432445. The cubic root of 6863076864 is about 1900.3763671772.

The spelling of 6863076864 in words is "six billion, eight hundred sixty-three million, seventy-six thousand, eight hundred sixty-four".