684489761280 has 800 divisors, whose sum is σ = 2725713543168. Its totient is φ = 163034726400.

The previous prime is 684489761239. The next prime is 684489761281. The reversal of 684489761280 is 82167984486.

684489761280 is a `hidden beast` number, since 6 + 8 + 4 + 4 + 8 + 9 + 7 + 612 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (684489761281) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 83561985 + ... + 83570175.

Almost surely, 2^684489761280 is an apocalyptic number.

684489761280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 684489761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362856771584).

684489761280 is an abundant number, since it is smaller than the sum of its proper divisors (2041223781888).

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

684489761280 is a wasteful number, since it uses less digits than its factorization.

684489761280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8270 (or 8245 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 684489761280 in words is "six hundred eighty-four billion, four hundred eighty-nine million, seven hundred sixty-one thousand, two hundred eighty".