7367668084080 has 480 divisors, whose sum is σ = 27853489512576. Its totient is φ = 1735366803456.

The previous prime is 7367668084079. The next prime is 7367668084087. The reversal of 7367668084080 is 804808667637.

It is a junction number, because it is equal to n+sod(n) for n = 7367668083999 and 7367668084017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7367668084087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14673664 + ... + 15167456.

Almost surely, 2^{7367668084080} 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 7367668084080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13926744756288).

7367668084080 is an abundant number, since it is smaller than the sum of its proper divisors (20485821428496).

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

7367668084080 is a wasteful number, since it uses less digits than its factorization.

7367668084080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493905 (or 493896 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 7367668084080 in words is "seven trillion, three hundred sixty-seven billion, six hundred sixty-eight million, eighty-four thousand, eighty".