7256851800480 has 288 divisors, whose sum is σ = 25378508675520. Its totient is φ = 1887277916160.

The previous prime is 7256851800463. The next prime is 7256851800503. The reversal of 7256851800480 is 840081586527.

7256851800480 is a `hidden beast` number, since 7 + 2 + 5 + 6 + 85 + 1 + 80 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40716360 + ... + 40894200.

It is an arithmetic number, because the mean of its divisors is an integer number (88119821790).

Almost surely, 2^{7256851800480} 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 7256851800480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12689254337760).

7256851800480 is an abundant number, since it is smaller than the sum of its proper divisors (18121656875040).

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

7256851800480 is a wasteful number, since it uses less digits than its factorization.

7256851800480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178564 (or 178553 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 7256851800480 in words is "seven trillion, two hundred fifty-six billion, eight hundred fifty-one million, eight hundred thousand, four hundred eighty".