7437641657616 has 45 divisors (see below), whose sum is σ = 20815158172471. Its totient is φ = 2479202977056.

The previous prime is 7437641657603. The next prime is 7437641657629. The reversal of 7437641657616 is 6167561467347.

The square root of 7437641657616 is 2727204.

It is a perfect power (a square), and thus also a powerful number.

7437641657616 is a `hidden beast` number, since 7 + 4 + 3 + 7 + 6 + 4 + 1 + 6 + 5 + 7 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (7437641657603) and next prime (7437641657629).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32612815 + ... + 32840081.

Almost surely, 2^{7437641657616} is an apocalyptic number.

7437641657616 is the 2727204-th square number.

It is an amenable number.

7437641657616 is an abundant number, since it is smaller than the sum of its proper divisors (13377516514855).

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

7437641657616 is an frugal number, since it uses more digits than its factorization.

7437641657616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454548 (or 227272 counting only the distinct ones).

The product of its digits is 106686720, while the sum is 63.

The spelling of 7437641657616 in words is "seven trillion, four hundred thirty-seven billion, six hundred forty-one million, six hundred fifty-seven thousand, six hundred sixteen".