7288275456 has 640 divisors, whose sum is σ = 27718225920. Its totient is φ = 1835827200.

The previous prime is 7288275439. The next prime is 7288275461. The reversal of 7288275456 is 6545728827.

7288275456 is a `hidden beast` number, since 72 + 8 + 8 + 27 + 545 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 43642285 + ... + 43642451.

It is an arithmetic number, because the mean of its divisors is an integer number (43309728).

Almost surely, 2^7288275456 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 7288275456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13859112960).

7288275456 is an abundant number, since it is smaller than the sum of its proper divisors (20429950464).

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

7288275456 is a wasteful number, since it uses less digits than its factorization.

7288275456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 231 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The square root of 7288275456 is about 85371.3971772748. The cubic root of 7288275456 is about 1938.8383111343.

The spelling of 7288275456 in words is "seven billion, two hundred eighty-eight million, two hundred seventy-five thousand, four hundred fifty-six".