6682400755320 has 128 divisors (see below), whose sum is σ = 20147044320000. Its totient is φ = 1773119932416.

The previous prime is 6682400755319. The next prime is 6682400755397. The reversal of 6682400755320 is 235570042866.

It is a self number, because there is not a number n which added to its sum of digits gives 6682400755320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20013987 + ... + 20345133.

It is an arithmetic number, because the mean of its divisors is an integer number (157398783750).

Almost surely, 2^{6682400755320} is an apocalyptic number.

6682400755320 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 6682400755320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10073522160000).

6682400755320 is an abundant number, since it is smaller than the sum of its proper divisors (13464643564680).

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

6682400755320 is a wasteful number, since it uses less digits than its factorization.

6682400755320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331997 (or 331993 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 6682400755320 in words is "six trillion, six hundred eighty-two billion, four hundred million, seven hundred fifty-five thousand, three hundred twenty".