7445334816 has 72 divisors (see below), whose sum is σ = 21367005660. Its totient is φ = 2458999296.

The previous prime is 7445334811. The next prime is 7445334833. The reversal of 7445334816 is 6184335447.

7445334816 is a `hidden beast` number, since 74 + 4 + 533 + 48 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5797299600 + 1648035216 = 76140^2 + 40596^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (7445334811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87195 + ... + 149978.

Almost surely, 2^7445334816 is an apocalyptic number.

It is an amenable number.

7445334816 is an abundant number, since it is smaller than the sum of its proper divisors (13921670844).

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

7445334816 is a wasteful number, since it uses less digits than its factorization.

7445334816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237298 (or 237287 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 7445334816 is about 86286.3535908199. The cubic root of 7445334816 is about 1952.6665090474. Note that the first 3 decimals are identical.

The spelling of 7445334816 in words is "seven billion, four hundred forty-five million, three hundred thirty-four thousand, eight hundred sixteen".