7289811480 has 256 divisors, whose sum is σ = 27111490560. Its totient is φ = 1529856000.

The previous prime is 7289811413. The next prime is 7289811517. The reversal of 7289811480 is 841189827.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 579255 + ... + 591705.

It is an arithmetic number, because the mean of its divisors is an integer number (105904260).

Almost surely, 2^7289811480 is an apocalyptic number.

7289811480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7289811480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13555745280).

7289811480 is an abundant number, since it is smaller than the sum of its proper divisors (19821679080).

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

7289811480 is a wasteful number, since it uses less digits than its factorization.

7289811480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12530 (or 12526 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 48.

The square root of 7289811480 is about 85380.3928311413. The cubic root of 7289811480 is about 1938.9745067271.

The spelling of 7289811480 in words is "seven billion, two hundred eighty-nine million, eight hundred eleven thousand, four hundred eighty".