6865233163920 has 320 divisors, whose sum is σ = 24684005836800. Its totient is φ = 1751765114880.

The previous prime is 6865233163903. The next prime is 6865233163937. The reversal of 6865233163920 is 293613325686.

6865233163920 is a `hidden beast` number, since 6 + 8 + 6 + 5 + 233 + 16 + 392 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6865233163903) and next prime (6865233163937).

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5383444 + ... + 6535436.

It is an arithmetic number, because the mean of its divisors is an integer number (77137518240).

Almost surely, 2^{6865233163920} is an apocalyptic number.

6865233163920 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 6865233163920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12342002918400).

6865233163920 is an abundant number, since it is smaller than the sum of its proper divisors (17818772672880).

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

6865233163920 is a wasteful number, since it uses less digits than its factorization.

6865233163920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152135 (or 1152123 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 6865233163920 in words is "six trillion, eight hundred sixty-five billion, two hundred thirty-three million, one hundred sixty-three thousand, nine hundred twenty".