7250584320 has 1152 divisors, whose sum is σ = 32635975680. Its totient is φ = 1486356480.

The previous prime is 7250584283. The next prime is 7250584381. The reversal of 7250584320 is 234850527.

7250584320 is a `hidden beast` number, since 7 + 2 + 50 + 584 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 168618219 + ... + 168618261.

It is an arithmetic number, because the mean of its divisors is an integer number (28329840).

Almost surely, 2^7250584320 is an apocalyptic number.

7250584320 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 7250584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16317987840).

7250584320 is an abundant number, since it is smaller than the sum of its proper divisors (25385391360).

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

7250584320 is a wasteful number, since it uses less digits than its factorization.

7250584320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 7250584320 is about 85150.3630056854. The cubic root of 7250584320 is about 1935.4903150237.

The spelling of 7250584320 in words is "seven billion, two hundred fifty million, five hundred eighty-four thousand, three hundred twenty".