7288133760 has 512 divisors, whose sum is σ = 26978918400. Its totient is φ = 1881169920.

The previous prime is 7288133689. The next prime is 7288133789. The reversal of 7288133760 is 673318827.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57386817 + ... + 57386943.

It is an arithmetic number, because the mean of its divisors is an integer number (52693200).

Almost surely, 2^7288133760 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 7288133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13489459200).

7288133760 is an abundant number, since it is smaller than the sum of its proper divisors (19690784640).

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

7288133760 is an equidigital number, since it uses as much as digits as its factorization.

7288133760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 7288133760 is about 85370.5672934179. The cubic root of 7288133760 is about 1938.8257463232.

The spelling of 7288133760 in words is "seven billion, two hundred eighty-eight million, one hundred thirty-three thousand, seven hundred sixty".