7482827520 has 288 divisors, whose sum is σ = 30348003840. Its totient is φ = 1710305280.

The previous prime is 7482827507. The next prime is 7482827537. The reversal of 7482827520 is 257282847.

7482827520 is a `hidden beast` number, since 7 + 48 + 2 + 82 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 226455 + ... + 257385.

Almost surely, 2^7482827520 is an apocalyptic number.

7482827520 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 7482827520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15174001920).

7482827520 is an abundant number, since it is smaller than the sum of its proper divisors (22865176320).

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

7482827520 is a wasteful number, since it uses less digits than its factorization.

7482827520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30968 (or 30948 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 7482827520 is about 86503.3382014821. The cubic root of 7482827520 is about 1955.9387236628.

The spelling of 7482827520 in words is "seven billion, four hundred eighty-two million, eight hundred twenty-seven thousand, five hundred twenty".