7668841220040 has 1024 divisors, whose sum is σ = 32748706529280. Its totient is φ = 1384998912000.

The previous prime is 7668841220017. The next prime is 7668841220041. The reversal of 7668841220040 is 400221488667.

It is a super-3 number, since 3×7668841220040³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (7668841220041) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 137749810 + ... + 137805470.

It is an arithmetic number, because the mean of its divisors is an integer number (31981158720).

Almost surely, 2^{7668841220040} is an apocalyptic number.

7668841220040 is a gapful number since it is divisible by the number (70) 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 7668841220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16374353264640).

7668841220040 is an abundant number, since it is smaller than the sum of its proper divisors (25079865309240).

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

7668841220040 is a wasteful number, since it uses less digits than its factorization.

7668841220040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55774 (or 55770 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 7668841220040 in words is "seven trillion, six hundred sixty-eight billion, eight hundred forty-one million, two hundred twenty thousand, forty".