7288496640 has 200 divisors, whose sum is σ = 26105834700. Its totient is φ = 1943543808.

The previous prime is 7288496561. The next prime is 7288496647. The reversal of 7288496640 is 466948827.

7288496640 is a `hidden beast` number, since 72 + 88 + 496 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7242690816 + 45805824 = 85104^2 + 6768^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7288496647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 189786 + ... + 224934.

Almost surely, 2^7288496640 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 7288496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13052917350).

7288496640 is an abundant number, since it is smaller than the sum of its proper divisors (18817338060).

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

7288496640 is an equidigital number, since it uses as much as digits as its factorization.

7288496640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35184 (or 35159 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 7288496640 is about 85372.6925896097. The cubic root of 7288496640 is about 1938.8579241725.

The spelling of 7288496640 in words is "seven billion, two hundred eighty-eight million, four hundred ninety-six thousand, six hundred forty".