6981276655080 has 2304 divisors, whose sum is σ = 30508722316800. Its totient is φ = 1404427714560.

The previous prime is 6981276655049. The next prime is 6981276655139. The reversal of 6981276655080 is 805566721896.

6981276655080 is a `hidden beast` number, since 6 + 9 + 8 + 1 + 2 + 76 + 6 + 550 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 6981276654999 and 6981276655017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 25952701186 + ... + 25952701454.

It is an arithmetic number, because the mean of its divisors is an integer number (13241632950).

Almost surely, 2^{6981276655080} is an apocalyptic number.

6981276655080 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 6981276655080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15254361158400).

6981276655080 is an abundant number, since it is smaller than the sum of its proper divisors (23527445661720).

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

6981276655080 is a wasteful number, since it uses less digits than its factorization.

6981276655080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 6981276655080 in words is "six trillion, nine hundred eighty-one billion, two hundred seventy-six million, six hundred fifty-five thousand, eighty".