6775819998720 has 320 divisors, whose sum is σ = 21928937976000. Its totient is φ = 1784659968000.

The previous prime is 6775819998691. The next prime is 6775819998721. The reversal of 6775819998720 is 278999185776.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6775819998721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326550906 + ... + 326571654.

It is an arithmetic number, because the mean of its divisors is an integer number (68527931175).

Almost surely, 2^{6775819998720} is an apocalyptic number.

6775819998720 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 6775819998720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10964468988000).

6775819998720 is an abundant number, since it is smaller than the sum of its proper divisors (15153117977280).

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

6775819998720 is a wasteful number, since it uses less digits than its factorization.

6775819998720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21297 (or 21281 counting only the distinct ones).

The product of its (nonzero) digits is 960180480, while the sum is 78.

The spelling of 6775819998720 in words is "six trillion, seven hundred seventy-five billion, eight hundred nineteen million, nine hundred ninety-eight thousand, seven hundred twenty".