6865312204800 has 1728 divisors, whose sum is σ = 30861016018560. Its totient is φ = 1476588994560.

The previous prime is 6865312204799. The next prime is 6865312204801. The reversal of 6865312204800 is 84022135686.

6865312204800 is a `hidden beast` number, since 68 + 65 + 31 + 2 + 20 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6865312204799) and next prime (6865312204801).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6865312204801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1480548082 + ... + 1480552718.

It is an arithmetic number, because the mean of its divisors is an integer number (17859384270).

Almost surely, 2^{6865312204800} is an apocalyptic number.

6865312204800 is a gapful number since it is divisible by the number (60) 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 6865312204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15430508009280).

6865312204800 is an abundant number, since it is smaller than the sum of its proper divisors (23995703813760).

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

6865312204800 is a wasteful number, since it uses less digits than its factorization.

6865312204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4708 (or 4671 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 6865312204800 in words is "six trillion, eight hundred sixty-five billion, three hundred twelve million, two hundred four thousand, eight hundred".