7525724580 has 144 divisors (see below), whose sum is σ = 25825834944. Its totient is φ = 1824405120.

The previous prime is 7525724519. The next prime is 7525724587. The reversal of 7525724580 is 854275257.

7525724580 is a `hidden beast` number, since 7 + 525 + 7 + 2 + 45 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (7525724587) 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 47 ways as a sum of consecutive naturals, for example, 16927 + ... + 123846.

It is an arithmetic number, because the mean of its divisors is an integer number (179346076).

Almost surely, 2^7525724580 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 7525724580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12912917472).

7525724580 is an abundant number, since it is smaller than the sum of its proper divisors (18300110364).

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

7525724580 is a wasteful number, since it uses less digits than its factorization.

7525724580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140808 (or 140794 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The square root of 7525724580 is about 86750.9341736445. The cubic root of 7525724580 is about 1959.6692295494.

The spelling of 7525724580 in words is "seven billion, five hundred twenty-five million, seven hundred twenty-four thousand, five hundred eighty".