6682968115200 has 1152 divisors, whose sum is σ = 26768211724800. Its totient is φ = 1644679987200.

The previous prime is 6682968115157. The next prime is 6682968115253. The reversal of 6682968115200 is 25118692866.

6682968115200 is a `hidden beast` number, since 6 + 68 + 296 + 81 + 15 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1455664905 + ... + 1455669495.

It is an arithmetic number, because the mean of its divisors is an integer number (23236294900).

Almost surely, 2^{6682968115200} is an apocalyptic number.

6682968115200 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 6682968115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13384105862400).

6682968115200 is an abundant number, since it is smaller than the sum of its proper divisors (20085243609600).

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

6682968115200 is an equidigital number, since it uses as much as digits as its factorization.

6682968115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4657 (or 4614 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 6682968115200 in words is "six trillion, six hundred eighty-two billion, nine hundred sixty-eight million, one hundred fifteen thousand, two hundred".