7641005733 has 12 divisors (see below), whose sum is σ = 11161020780. Its totient is φ = 5036767296.

The previous prime is 7641005719. The next prime is 7641005741. The reversal of 7641005733 is 3375001467.

7641005733 is a `hidden beast` number, since 7 + 641 + 0 + 0 + 5 + 7 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1373591844 + 6267413889 = 37062^2 + 79167^2 .

It is not a de Polignac number, because 7641005733 - 2²¹ = 7638908581 is a prime.

It is a super-2 number, since 2×7641005733² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7641005773) 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 11 ways as a sum of consecutive naturals, for example, 4768866 + ... + 4770467.

It is an arithmetic number, because the mean of its divisors is an integer number (930085065).

Almost surely, 2^7641005733 is an apocalyptic number.

It is an amenable number.

7641005733 is a deficient number, since it is larger than the sum of its proper divisors (3520015047).

7641005733 is a wasteful number, since it uses less digits than its factorization.

7641005733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9539428 (or 9539425 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 7641005733 is about 87412.8464986697. The cubic root of 7641005733 is about 1969.6248208031.

The spelling of 7641005733 in words is "seven billion, six hundred forty-one million, five thousand, seven hundred thirty-three".