6865228869408 has 1008 divisors, whose sum is σ = 26400011762880. Its totient is φ = 1715183548416.

The previous prime is 6865228869407. The next prime is 6865228869419. The reversal of 6865228869408 is 8049688225686.

6865228869408 is a `hidden beast` number, since 6 + 8 + 6 + 522 + 8 + 8 + 6 + 94 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6865228869407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 524336910 + ... + 524350002.

It is an arithmetic number, because the mean of its divisors is an integer number (26190487860).

Almost surely, 2^{6865228869408} 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 6865228869408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13200005881440).

6865228869408 is an abundant number, since it is smaller than the sum of its proper divisors (19534782893472).

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

6865228869408 is a wasteful number, since it uses less digits than its factorization.

6865228869408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13173 (or 13137 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 72.

The spelling of 6865228869408 in words is "six trillion, eight hundred sixty-five billion, two hundred twenty-eight million, eight hundred sixty-nine thousand, four hundred eight".