7428524544 has 960 divisors, whose sum is σ = 29415260160. Its totient is φ = 1751777280.

The previous prime is 7428524539. The next prime is 7428524549. The reversal of 7428524544 is 4454258247.

7428524544 is a `hidden beast` number, since 7 + 4 + 2 + 85 + 24 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (7428524539) and next prime (7428524549).

It is a self number, because there is not a number n which added to its sum of digits gives 7428524544.

It is not an unprimeable number, because it can be changed into a prime (7428524549) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 239629809 + ... + 239629839.

It is an arithmetic number, because the mean of its divisors is an integer number (30640896).

Almost surely, 2^7428524544 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 7428524544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14707630080).

7428524544 is an abundant number, since it is smaller than the sum of its proper divisors (21986735616).

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

7428524544 is a wasteful number, since it uses less digits than its factorization.

7428524544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 102 counting only the distinct ones).

The product of its digits is 1433600, while the sum is 45.

The square root of 7428524544 is about 86188.8887502328. Note that the first 3 decimals coincide. The cubic root of 7428524544 is about 1951.1958077621.

The spelling of 7428524544 in words is "seven billion, four hundred twenty-eight million, five hundred twenty-four thousand, five hundred forty-four".