6980695688736 has 576 divisors, whose sum is σ = 25693133147136. Its totient is φ = 1811279232000.

The previous prime is 6980695688711. The next prime is 6980695688767. The reversal of 6980695688736 is 6378865960896.

It is a super-2 number, since 2×6980695688736² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 629282806 + ... + 629293898.

It is an arithmetic number, because the mean of its divisors is an integer number (44606133936).

Almost surely, 2^{6980695688736} is an apocalyptic number.

6980695688736 is a gapful number since it is divisible by the number (66) 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 6980695688736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12846566573568).

6980695688736 is an abundant number, since it is smaller than the sum of its proper divisors (18712437458400).

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

6980695688736 is a wasteful number, since it uses less digits than its factorization.

6980695688736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12187 (or 12167 counting only the distinct ones).

The product of its (nonzero) digits is 5643509760, while the sum is 81.

The spelling of 6980695688736 in words is "six trillion, nine hundred eighty billion, six hundred ninety-five million, six hundred eighty-eight thousand, seven hundred thirty-six".