6865341683904 has 1008 divisors, whose sum is σ = 23081300161920. Its totient is φ = 1946804428800.

The previous prime is 6865341683899. The next prime is 6865341683911. The reversal of 6865341683904 is 4093861435686.

6865341683904 is a `hidden beast` number, since 6 + 8 + 6 + 53 + 416 + 83 + 90 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7249568359 + ... + 7249569305.

It is an arithmetic number, because the mean of its divisors is an integer number (22898115240).

Almost surely, 2^{6865341683904} is an apocalyptic number.

6865341683904 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 6865341683904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11540650080960).

6865341683904 is an abundant number, since it is smaller than the sum of its proper divisors (16215958478016).

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

6865341683904 is a wasteful number, since it uses less digits than its factorization.

6865341683904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 6865341683904 in words is "six trillion, eight hundred sixty-five billion, three hundred forty-one million, six hundred eighty-three thousand, nine hundred four".