7288866816 has 576 divisors, whose sum is σ = 25813831680. Its totient is φ = 1806336000.

The previous prime is 7288866797. The next prime is 7288866821. The reversal of 7288866816 is 6186688827.

It is a super-2 number, since 2×7288866816² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 7288866816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102660061 + ... + 102660131.

It is an arithmetic number, because the mean of its divisors is an integer number (44815680).

Almost surely, 2^7288866816 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 7288866816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12906915840).

7288866816 is an abundant number, since it is smaller than the sum of its proper divisors (18524964864).

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

7288866816 is a wasteful number, since it uses less digits than its factorization.

7288866816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 125 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 60.

The square root of 7288866816 is about 85374.8605621116. The cubic root of 7288866816 is about 1938.8907478835.

It can be divided in two parts, 72 and 88866816, that added together give a palindrome (88866888).

The spelling of 7288866816 in words is "seven billion, two hundred eighty-eight million, eight hundred sixty-six thousand, eight hundred sixteen".