6882118370400 has 2304 divisors, whose sum is σ = 29670932938752. Its totient is φ = 1346678784000.

The previous prime is 6882118370357. The next prime is 6882118370417. The reversal of 6882118370400 is 40738112886.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6882118370400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20791898235 + ... + 20791898565.

It is an arithmetic number, because the mean of its divisors is an integer number (12878009088).

Almost surely, 2^{6882118370400} is an apocalyptic number.

6882118370400 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 6882118370400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14835466469376).

6882118370400 is an abundant number, since it is smaller than the sum of its proper divisors (22788814568352).

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

6882118370400 is a wasteful number, since it uses less digits than its factorization.

6882118370400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 6882118370400 in words is "six trillion, eight hundred eighty-two billion, one hundred eighteen million, three hundred seventy thousand, four hundred".