7260459360 has 768 divisors, whose sum is σ = 30772224000. Its totient is φ = 1422489600.

The previous prime is 7260459337. The next prime is 7260459397. The reversal of 7260459360 is 639540627.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 127 ways as a sum of consecutive naturals, for example, 34409655 + ... + 34409865.

It is an arithmetic number, because the mean of its divisors is an integer number (40068000).

Almost surely, 2^7260459360 is an apocalyptic number.

7260459360 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 7260459360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15386112000).

7260459360 is an abundant number, since it is smaller than the sum of its proper divisors (23511764640).

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

7260459360 is a wasteful number, since it uses less digits than its factorization.

7260459360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 7260459360 is about 85208.3291703340. The cubic root of 7260459360 is about 1936.3686062482.

Adding to 7260459360 its reverse (639540627), we get a palindrome (7899999987).

The spelling of 7260459360 in words is "seven billion, two hundred sixty million, four hundred fifty-nine thousand, three hundred sixty".