7254804960 has 576 divisors, whose sum is σ = 28997740800. Its totient is φ = 1688573952.

The previous prime is 7254804929. The next prime is 7254804967. The reversal of 7254804960 is 694084527.

It is a happy number.

7254804960 is a `hidden beast` number, since 7 + 2 + 548 + 0 + 49 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7254804967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13871259 + ... + 13871781.

It is an arithmetic number, because the mean of its divisors is an integer number (50343300).

Almost surely, 2^7254804960 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 7254804960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14498870400).

7254804960 is an abundant number, since it is smaller than the sum of its proper divisors (21742935840).

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

7254804960 is a wasteful number, since it uses less digits than its factorization.

7254804960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 7254804960 is about 85175.1428528300. The cubic root of 7254804960 is about 1935.8657984748.

The spelling of 7254804960 in words is "seven billion, two hundred fifty-four million, eight hundred four thousand, nine hundred sixty".