7145932320000 has 720 divisors, whose sum is σ = 27959868478080. Its totient is φ = 1793470464000.

The previous prime is 7145932319993. The next prime is 7145932320001. The reversal of 7145932320000 is 232395417.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7145932320001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73391349 + ... + 73488651.

It is an arithmetic number, because the mean of its divisors is an integer number (38833150664).

Almost surely, 2^{7145932320000} 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 7145932320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13979934239040).

7145932320000 is an abundant number, since it is smaller than the sum of its proper divisors (20813936158080).

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

7145932320000 is an equidigital number, since it uses as much as digits as its factorization.

7145932320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97365 (or 97330 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 7145932320000 in words is "seven trillion, one hundred forty-five billion, nine hundred thirty-two million, three hundred twenty thousand".