6981327360 has 640 divisors, whose sum is σ = 29038141440. Its totient is φ = 1556692992.

The previous prime is 6981327349. The next prime is 6981327361. The reversal of 6981327360 is 637231896.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6981327361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22740327 + ... + 22740633.

It is an arithmetic number, because the mean of its divisors is an integer number (45372096).

Almost surely, 2^6981327360 is an apocalyptic number.

6981327360 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 6981327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14519070720).

6981327360 is an abundant number, since it is smaller than the sum of its proper divisors (22056814080).

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

6981327360 is a wasteful number, since it uses less digits than its factorization.

6981327360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 6981327360 is about 83554.3377689034. The cubic root of 6981327360 is about 1911.2287407116.

The spelling of 6981327360 in words is "six billion, nine hundred eighty-one million, three hundred twenty-seven thousand, three hundred sixty".