7287350544 has 320 divisors, whose sum is σ = 22969958400. Its totient is φ = 2204928000.

The previous prime is 7287350533. The next prime is 7287350563. The reversal of 7287350544 is 4450537827.

7287350544 is a `hidden beast` number, since 72 + 8 + 7 + 35 + 0 + 544 = 666.

It is a super-2 number, since 2×7287350544² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7287350544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18172744 + ... + 18173144.

It is an arithmetic number, because the mean of its divisors is an integer number (71781120).

Almost surely, 2^7287350544 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 7287350544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11484979200).

7287350544 is an abundant number, since it is smaller than the sum of its proper divisors (15682607856).

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

7287350544 is a wasteful number, since it uses less digits than its factorization.

7287350544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The square root of 7287350544 is about 85365.9800154605. The cubic root of 7287350544 is about 1938.7562921577.

The spelling of 7287350544 in words is "seven billion, two hundred eighty-seven million, three hundred fifty thousand, five hundred forty-four".