6979942072320 has 960 divisors, whose sum is σ = 26329594131456. Its totient is φ = 1545810739200.

The previous prime is 6979942072273. The next prime is 6979942072321. The reversal of 6979942072320 is 232702499796.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×6979942072320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6979942072321) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 11613880020 + ... + 11613880620.

Almost surely, 2^{6979942072320} is an apocalyptic number.

6979942072320 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 6979942072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13164797065728).

6979942072320 is an abundant number, since it is smaller than the sum of its proper divisors (19349652059136).

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

6979942072320 is a wasteful number, since it uses less digits than its factorization.

6979942072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 60.

The spelling of 6979942072320 in words is "six trillion, nine hundred seventy-nine billion, nine hundred forty-two million, seventy-two thousand, three hundred twenty".