6981634360800 has 432 divisors, whose sum is σ = 27851793121152. Its totient is φ = 1692516902400.

The previous prime is 6981634360783. The next prime is 6981634360801. The reversal of 6981634360800 is 80634361896.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6981634360801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 505957 + ... + 3770843.

It is an arithmetic number, because the mean of its divisors is an integer number (64471743336).

Almost surely, 2^{6981634360800} is an apocalyptic number.

6981634360800 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 6981634360800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13925896560576).

6981634360800 is an abundant number, since it is smaller than the sum of its proper divisors (20870158760352).

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

6981634360800 is a wasteful number, since it uses less digits than its factorization.

6981634360800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264933 (or 3264908 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 6981634360800 in words is "six trillion, nine hundred eighty-one billion, six hundred thirty-four million, three hundred sixty thousand, eight hundred".