7287613358080 has 272 divisors, whose sum is σ = 19128497545728. Its totient is φ = 2643329024000.

The previous prime is 7287613358071. The next prime is 7287613358089. The reversal of 7287613358080 is 808533167827.

It is an interprime number because it is at equal distance from previous prime (7287613358071) and next prime (7287613358089).

It is not an unprimeable number, because it can be changed into a prime (7287613358089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1553528535 + ... + 1553533225.

It is an arithmetic number, because the mean of its divisors is an integer number (70325358624).

Almost surely, 2^{7287613358080} 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 7287613358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9564248772864).

7287613358080 is an abundant number, since it is smaller than the sum of its proper divisors (11840884187648).

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

7287613358080 is an equidigital number, since it uses as much as digits as its factorization.

7287613358080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5170 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 58.

The spelling of 7287613358080 in words is "seven trillion, two hundred eighty-seven billion, six hundred thirteen million, three hundred fifty-eight thousand, eighty".