7641667144 has 16 divisors (see below), whose sum is σ = 15170957100. Its totient is φ = 3596078592.

The previous prime is 7641667109. The next prime is 7641667151. The reversal of 7641667144 is 4417661467.

It can be written as a sum of positive squares in 2 ways, for example, as 7632119044 + 9548100 = 87362^2 + 3090^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7641667094 and 7641667103.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 28094229 + ... + 28094500.

Almost surely, 2^7641667144 is an apocalyptic number.

It is an amenable number.

7641667144 is a deficient number, since it is larger than the sum of its proper divisors (7529289956).

7641667144 is a wasteful number, since it uses less digits than its factorization.

7641667144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56188752 (or 56188748 counting only the distinct ones).

The product of its digits is 677376, while the sum is 46.

The square root of 7641667144 is about 87416.6296765095. The cubic root of 7641667144 is about 1969.6816498813.

The spelling of 7641667144 in words is "seven billion, six hundred forty-one million, six hundred sixty-seven thousand, one hundred forty-four".