7133686986240 has 320 divisors, whose sum is σ = 26156860139520. Its totient is φ = 1840950927360.

The previous prime is 7133686986229. The next prime is 7133686986247. The reversal of 7133686986240 is 426896863317.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7133686986247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478087 + ... + 3807353.

It is an arithmetic number, because the mean of its divisors is an integer number (81740187936).

Almost surely, 2^{7133686986240} 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 7133686986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13078430069760).

7133686986240 is an abundant number, since it is smaller than the sum of its proper divisors (19023173153280).

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

7133686986240 is a wasteful number, since it uses less digits than its factorization.

7133686986240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3329330 (or 3329308 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 7133686986240 in words is "seven trillion, one hundred thirty-three billion, six hundred eighty-six million, nine hundred eighty-six thousand, two hundred forty".