6981811200 has 1320 divisors, whose sum is σ = 32678832032. Its totient is φ = 1433272320.

The previous prime is 6981811183. The next prime is 6981811201. The reversal of 6981811200 is 21181896.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6981811201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 188697582 + ... + 188697618.

Almost surely, 2^6981811200 is an apocalyptic number.

6981811200 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 6981811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16339416016).

6981811200 is an abundant number, since it is smaller than the sum of its proper divisors (25697020832).

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

6981811200 is a wasteful number, since it uses less digits than its factorization.

6981811200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 6981811200 is about 83557.2330800871. The cubic root of 6981811200 is about 1911.2728921794.

It can be divided in two parts, 69818 and 11200, that added together give a palindrome (81018).

The spelling of 6981811200 in words is "six billion, nine hundred eighty-one million, eight hundred eleven thousand, two hundred".