6864328859076 has 384 divisors, whose sum is σ = 20118609100800. Its totient is φ = 2009520576000.

The previous prime is 6864328858967. The next prime is 6864328859077. The reversal of 6864328859076 is 6709588234686.

6864328859076 is a `hidden beast` number, since 6 + 8 + 6 + 4 + 3 + 28 + 8 + 590 + 7 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6864328858995 and 6864328859013.

It is not an unprimeable number, because it can be changed into a prime (6864328859077) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1171184386 + ... + 1171190246.

It is an arithmetic number, because the mean of its divisors is an integer number (52392211200).

Almost surely, 2^{6864328859076} 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 6864328859076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10059304550400).

6864328859076 is an abundant number, since it is smaller than the sum of its proper divisors (13254280241724).

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

6864328859076 is a wasteful number, since it uses less digits than its factorization.

6864328859076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6368 (or 6360 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 6864328859076 in words is "six trillion, eight hundred sixty-four billion, three hundred twenty-eight million, eight hundred fifty-nine thousand, seventy-six".