7259480064 has 224 divisors, whose sum is σ = 22459127040. Its totient is φ = 2312994816.

The previous prime is 7259480047. The next prime is 7259480089. The reversal of 7259480064 is 4600849527.

It is a happy number.

It is a super-2 number, since 2×7259480064² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5086519 + ... + 5087945.

It is an arithmetic number, because the mean of its divisors is an integer number (100263960).

Almost surely, 2^7259480064 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 7259480064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11229563520).

7259480064 is an abundant number, since it is smaller than the sum of its proper divisors (15199646976).

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

7259480064 is a wasteful number, since it uses less digits than its factorization.

7259480064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 7259480064 is about 85202.5824960723. The cubic root of 7259480064 is about 1936.2815427352.

The spelling of 7259480064 in words is "seven billion, two hundred fifty-nine million, four hundred eighty thousand, sixty-four".