6979738076976 has 480 divisors, whose sum is σ = 23253615959040. Its totient is φ = 1791938598912.

The previous prime is 6979738076957. The next prime is 6979738076977. The reversal of 6979738076976 is 6796708379796.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is not an unprimeable number, because it can be changed into a prime (6979738076977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57984885 + ... + 58105131.

It is an arithmetic number, because the mean of its divisors is an integer number (48445033248).

Almost surely, 2^{6979738076976} 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 6979738076976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11626807979520).

6979738076976 is an abundant number, since it is smaller than the sum of its proper divisors (16273877882064).

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

6979738076976 is a wasteful number, since it uses less digits than its factorization.

6979738076976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120361 (or 120348 counting only the distinct ones).

The product of its (nonzero) digits is 9073705536, while the sum is 84.

The spelling of 6979738076976 in words is "six trillion, nine hundred seventy-nine billion, seven hundred thirty-eight million, seventy-six thousand, nine hundred seventy-six".