6880608716800 has 1152 divisors, whose sum is σ = 21736233792000. Its totient is φ = 2102132736000.

The previous prime is 6880608716783. The next prime is 6880608716833. The reversal of 6880608716800 is 86178060886.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34575923101 + ... + 34575923299.

It is an arithmetic number, because the mean of its divisors is an integer number (18868258500).

Almost surely, 2^{6880608716800} 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 6880608716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10868116896000).

6880608716800 is an abundant number, since it is smaller than the sum of its proper divisors (14855625075200).

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

6880608716800 is a wasteful number, since it uses less digits than its factorization.

6880608716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 58.

The spelling of 6880608716800 in words is "six trillion, eight hundred eighty billion, six hundred eight million, seven hundred sixteen thousand, eight hundred".