6880205913984 has 576 divisors, whose sum is σ = 22982346354240. Its totient is φ = 1962821984256.

The previous prime is 6880205913983. The next prime is 6880205914111. The reversal of 6880205913984 is 4893195020886.

6880205913984 is a `hidden beast` number, since 6 + 8 + 8 + 0 + 2 + 0 + 591 + 39 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6880205913983) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 254084254 + ... + 254111330.

It is an arithmetic number, because the mean of its divisors is an integer number (39899906865).

Almost surely, 2^{6880205913984} is an apocalyptic number.

6880205913984 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 6880205913984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11491173177120).

6880205913984 is an abundant number, since it is smaller than the sum of its proper divisors (16102140440256).

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

6880205913984 is a wasteful number, since it uses less digits than its factorization.

6880205913984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27195 (or 27161 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 6880205913984 in words is "six trillion, eight hundred eighty billion, two hundred five million, nine hundred thirteen thousand, nine hundred eighty-four".