6855565432320 has 1920 divisors, whose sum is σ = 28241407434240. Its totient is φ = 1519056322560.

The previous prime is 6855565432307. The next prime is 6855565432333. The reversal of 6855565432320 is 232345655586.

6855565432320 is a `hidden beast` number, since 6 + 8 + 5 + 5 + 56 + 543 + 23 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (6855565432307) and next prime (6855565432333).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23397834094 + ... + 23397834386.

It is an arithmetic number, because the mean of its divisors is an integer number (14709066372).

Almost surely, 2^{6855565432320} is an apocalyptic number.

6855565432320 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 6855565432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14120703717120).

6855565432320 is an abundant number, since it is smaller than the sum of its proper divisors (21385842001920).

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

6855565432320 is a wasteful number, since it uses less digits than its factorization.

6855565432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 6855565432320 in words is "six trillion, eight hundred fifty-five billion, five hundred sixty-five million, four hundred thirty-two thousand, three hundred twenty".