4773073566240 has 288 divisors, whose sum is σ = 19215471614976. Its totient is φ = 1055795005440.

The previous prime is 4773073566197. The next prime is 4773073566241. The reversal of 4773073566240 is 426653703774.

4773073566240 is a `hidden beast` number, since 4 + 7 + 7 + 3 + 0 + 7 + 3 + 5 + 6 + 624 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4773073566241) by changing a digit.

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, 7324927 + ... + 7949886.

It is an arithmetic number, because the mean of its divisors is an integer number (66720387552).

Almost surely, 2^{4773073566240} is an apocalyptic number.

4773073566240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4773073566240 is an abundant number, since it is smaller than the sum of its proper divisors (14442398048736).

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

4773073566240 is a wasteful number, since it uses less digits than its factorization.

4773073566240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15274872 (or 15274861 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 54.

The spelling of 4773073566240 in words is "four trillion, seven hundred seventy-three billion, seventy-three million, five hundred sixty-six thousand, two hundred forty".