7250258473920 has 504 divisors, whose sum is σ = 31326919364832. Its totient is φ = 1506546708480.

The previous prime is 7250258473859. The next prime is 7250258473943. The reversal of 7250258473920 is 293748520527.

7250258473920 is a `hidden beast` number, since 7 + 2 + 5 + 0 + 2 + 584 + 7 + 39 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 953262 + ... + 3925458.

Almost surely, 2^{7250258473920} is an apocalyptic number.

7250258473920 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 7250258473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15663459682416).

7250258473920 is an abundant number, since it is smaller than the sum of its proper divisors (24076660890912).

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

7250258473920 is a wasteful number, since it uses less digits than its factorization.

7250258473920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972249 (or 2972225 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 7250258473920 in words is "seven trillion, two hundred fifty billion, two hundred fifty-eight million, four hundred seventy-three thousand, nine hundred twenty".