7125565440 has 512 divisors, whose sum is σ = 27681984000. Its totient is φ = 1528823808.

The previous prime is 7125565423. The next prime is 7125565493. The reversal of 7125565440 is 445655217.

It is a tau number, because it is divible by the number of its divisors (512).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 65372106 + ... + 65372214.

It is an arithmetic number, because the mean of its divisors is an integer number (54066375).

Almost surely, 2^7125565440 is an apocalyptic number.

7125565440 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 7125565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13840992000).

7125565440 is an abundant number, since it is smaller than the sum of its proper divisors (20556418560).

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

7125565440 is a wasteful number, since it uses less digits than its factorization.

7125565440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 39.

The square root of 7125565440 is about 84413.0643917160. The cubic root of 7125565440 is about 1924.3014671335.

The spelling of 7125565440 in words is "seven billion, one hundred twenty-five million, five hundred sixty-five thousand, four hundred forty".