672957715600 has 45 divisors (see below), whose sum is σ = 1616820330027. Its totient is φ = 269176523520.

The previous prime is 672957715597. The next prime is 672957715607. The reversal of 672957715600 is 6517759276.

The square root of 672957715600 is 820340.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12079768464 + 660877947136 = 109908^2 + 812944^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (672957715607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16386292 + ... + 16427308.

Almost surely, 2^672957715600 is an apocalyptic number.

672957715600 is the 820340-th square number.

It is an amenable number.

672957715600 is an abundant number, since it is smaller than the sum of its proper divisors (943862614427).

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

672957715600 is an frugal number, since it uses more digits than its factorization.

672957715600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82052 (or 41024 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 55.

The spelling of 672957715600 in words is "six hundred seventy-two billion, nine hundred fifty-seven million, seven hundred fifteen thousand, six hundred".