7256304000 has 640 divisors, whose sum is σ = 29457885600. Its totient is φ = 1755648000.

The previous prime is 7256303963. The next prime is 7256304001. The reversal of 7256304000 is 4036527.

It is a happy number.

7256304000 is a `hidden beast` number, since 7 + 25 + 630 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7256304001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 14255746 + ... + 14256254.

Almost surely, 2^7256304000 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 7256304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14728942800).

7256304000 is an abundant number, since it is smaller than the sum of its proper divisors (22201581600).

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

7256304000 is a wasteful number, since it uses less digits than its factorization.

7256304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 7256304000 is about 85183.9421487407. The cubic root of 7256304000 is about 1935.9991234657. Note that the first 3 decimals are identical.

The spelling of 7256304000 in words is "seven billion, two hundred fifty-six million, three hundred four thousand".