6980073740640 has 864 divisors, whose sum is σ = 32223785525568. Its totient is φ = 1338832281600.

The previous prime is 6980073740639. The next prime is 6980073740659. The reversal of 6980073740640 is 460473700896.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 15635730 + ... + 16075950.

It is an arithmetic number, because the mean of its divisors is an integer number (37296048062).

Almost surely, 2^{6980073740640} is an apocalyptic number.

6980073740640 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 6980073740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16111892762784).

6980073740640 is an abundant number, since it is smaller than the sum of its proper divisors (25243711784928).

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

6980073740640 is a wasteful number, since it uses less digits than its factorization.

6980073740640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440284 (or 440262 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 6980073740640 in words is "six trillion, nine hundred eighty billion, seventy-three million, seven hundred forty thousand, six hundred forty".