7258497480 has 768 divisors, whose sum is σ = 29059430400. Its totient is φ = 1612431360.

The previous prime is 7258497473. The next prime is 7258497539. The reversal of 7258497480 is 847948527.

It is a happy number.

7258497480 is a `hidden beast` number, since 72 + 5 + 8 + 4 + 97 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66591666 + ... + 66591774.

It is an arithmetic number, because the mean of its divisors is an integer number (37837800).

Almost surely, 2^7258497480 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 7258497480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14529715200).

7258497480 is an abundant number, since it is smaller than the sum of its proper divisors (21800932920).

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

7258497480 is a wasteful number, since it uses less digits than its factorization.

7258497480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 7258497480 is about 85196.8161376938. The cubic root of 7258497480 is about 1936.1941790355.

The spelling of 7258497480 in words is "seven billion, two hundred fifty-eight million, four hundred ninety-seven thousand, four hundred eighty".