7425145728 has 768 divisors, whose sum is σ = 29512304640. Its totient is φ = 1729658880.

The previous prime is 7425145657. The next prime is 7425145733. The reversal of 7425145728 is 8275415247.

7425145728 is a `hidden beast` number, since 74 + 2 + 5 + 1 + 4 + 572 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54198076 + ... + 54198212.

It is an arithmetic number, because the mean of its divisors is an integer number (38427480).

Almost surely, 2^7425145728 is an apocalyptic number.

7425145728 is a gapful number since it is divisible by the number (78) 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 7425145728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14756152320).

7425145728 is an abundant number, since it is smaller than the sum of its proper divisors (22087158912).

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

7425145728 is a wasteful number, since it uses less digits than its factorization.

7425145728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 220 counting only the distinct ones).

The product of its digits is 627200, while the sum is 45.

The square root of 7425145728 is about 86169.2852935430. The cubic root of 7425145728 is about 1950.8999333310.

The spelling of 7425145728 in words is "seven billion, four hundred twenty-five million, one hundred forty-five thousand, seven hundred twenty-eight".