684608448800 has 36 divisors (see below), whose sum is σ = 1671300377586. Its totient is φ = 273843379200.

The previous prime is 684608448787. The next prime is 684608448803. The reversal of 684608448800 is 8844806486.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 650971421584 + 33637027216 = 806828^2 + 183404^2 .

It is not an unprimeable number, because it can be changed into a prime (684608448803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 427879481 + ... + 427881080.

Almost surely, 2^684608448800 is an apocalyptic number.

It is an amenable number.

684608448800 is an abundant number, since it is smaller than the sum of its proper divisors (986691928786).

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

684608448800 is a wasteful number, since it uses less digits than its factorization.

684608448800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855760581 (or 855760568 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 56.

The spelling of 684608448800 in words is "six hundred eighty-four billion, six hundred eight million, four hundred forty-eight thousand, eight hundred".