1680069630625 has 45 divisors (see below), whose sum is σ = 2120311816623. Its totient is φ = 1330808796000.

The previous prime is 1680069630607. The next prime is 1680069630671. The reversal of 1680069630625 is 5260369600861.

The square root of 1680069630625 is 1296175.

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

It can be written as a sum of positive squares in 7 ways, for example, as 1228211413009 + 451858217616 = 1108247^2 + 672204^2 .

It is not a de Polignac number, because 1680069630625 - 2¹¹ = 1680069628577 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4504207939 + ... + 4504208311.

Almost surely, 2^{1680069630625} is an apocalyptic number.

1680069630625 is the 1296175-th square number.

1680069630625 is the 648088-th centered octagonal number.

It is an amenable number.

1680069630625 is a deficient number, since it is larger than the sum of its proper divisors (440242185998).

1680069630625 is an frugal number, since it uses more digits than its factorization.

1680069630625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 52.

The spelling of 1680069630625 in words is "one trillion, six hundred eighty billion, sixty-nine million, six hundred thirty thousand, six hundred twenty-five".