7290000000 has 448 divisors, whose sum is σ = 27218192040. Its totient is φ = 1944000000.

The previous prime is 7289999963. The next prime is 7290000037. The reversal of 7290000000 is 927.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (7289999963) and next prime (7290000037).

It can be written as a sum of positive squares in 4 ways, for example, as 4397281344 + 2892718656 = 66312^2 + 53784^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 55 ways as a sum of consecutive naturals, for example, 1457999998 + ... + 1458000002.

Almost surely, 2^7290000000 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 7290000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13609096020).

7290000000 is an abundant number, since it is smaller than the sum of its proper divisors (19928192040).

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

7290000000 is an frugal number, since it uses more digits than its factorization.

7290000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 7290000000 is about 85381.4968245462. The cubic root of 7290000000 is about 1938.9912210287.

Adding to 7290000000 its reverse (927), we get a palindrome (7290000927).

The spelling of 7290000000 in words is "seven billion, two hundred ninety million", and thus it is an aban number.