7442066833 has 16 divisors (see below), whose sum is σ = 7618278096. Its totient is φ = 7268244480.

The previous prime is 7442066789. The next prime is 7442066867. The reversal of 7442066833 is 3386602447.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 598144849 + 6843921984 = 24457^2 + 82728^2 .

It is a cyclic number.

It is not a de Polignac number, because 7442066833 - 2²¹ = 7439969681 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7442066833.

It is not an unprimeable number, because it can be changed into a prime (7442063833) 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 15 ways as a sum of consecutive naturals, for example, 3349663 + ... + 3351883.

It is an arithmetic number, because the mean of its divisors is an integer number (476142381).

Almost surely, 2^7442066833 is an apocalyptic number.

7442066833 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

7442066833 is a deficient number, since it is larger than the sum of its proper divisors (176211263).

7442066833 is a wasteful number, since it uses less digits than its factorization.

7442066833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724.

The product of its (nonzero) digits is 580608, while the sum is 43.

The square root of 7442066833 is about 86267.4146650982. The cubic root of 7442066833 is about 1952.3807724088.

The spelling of 7442066833 in words is "seven billion, four hundred forty-two million, sixty-six thousand, eight hundred thirty-three".