684671201280 has 1092 divisors, whose sum is σ = 2714835852120. Its totient is φ = 165542952960.

The previous prime is 684671201213. The next prime is 684671201297. The reversal of 684671201280 is 82102176486.

684671201280 is a `hidden beast` number, since 68 + 46 + 71 + 201 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1806520131 + ... + 1806520509.

Almost surely, 2^684671201280 is an apocalyptic number.

684671201280 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 684671201280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357417926060).

684671201280 is an abundant number, since it is smaller than the sum of its proper divisors (2030164650840).

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

684671201280 is an equidigital number, since it uses as much as digits as its factorization.

684671201280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 684671201280 in words is "six hundred eighty-four billion, six hundred seventy-one million, two hundred one thousand, two hundred eighty".