6982455859200 has 1728 divisors, whose sum is σ = 28545441724800. Its totient is φ = 1620128563200.

The previous prime is 6982455859139. The next prime is 6982455859279. The reversal of 6982455859200 is 29585542896.

6982455859200 is a `hidden beast` number, since 6 + 9 + 8 + 2 + 4 + 558 + 59 + 20 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6400050655 + ... + 6400051745.

It is an arithmetic number, because the mean of its divisors is an integer number (16519352850).

Almost surely, 2^{6982455859200} is an apocalyptic number.

6982455859200 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 6982455859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14272720862400).

6982455859200 is an abundant number, since it is smaller than the sum of its proper divisors (21562985865600).

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

6982455859200 is a wasteful number, since it uses less digits than its factorization.

6982455859200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 6982455859200 in words is "six trillion, nine hundred eighty-two billion, four hundred fifty-five million, eight hundred fifty-nine thousand, two hundred".