6981327647560 has 512 divisors, whose sum is σ = 19861585920000. Its totient is φ = 2200221563904.

The previous prime is 6981327647549. The next prime is 6981327647597. The reversal of 6981327647560 is 657467231896.

It is a junction number, because it is equal to n+sod(n) for n = 6981327647492 and 6981327647501.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1759848697 + ... + 1759852663.

It is an arithmetic number, because the mean of its divisors is an integer number (38792160000).

It is a 1-persistent number, because it is pandigital, but 2⋅6981327647560 = 13962655295120 is not.

Almost surely, 2^{6981327647560} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6981327647560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9930792960000).

6981327647560 is an abundant number, since it is smaller than the sum of its proper divisors (12880258272440).

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

6981327647560 is a wasteful number, since it uses less digits than its factorization.

6981327647560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4218 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 64.

The spelling of 6981327647560 in words is "six trillion, nine hundred eighty-one billion, three hundred twenty-seven million, six hundred forty-seven thousand, five hundred sixty".