684029345825280 has 1920 divisors, whose sum is σ = 2849429400846336. Its totient is φ = 136297031270400.

The previous prime is 684029345825279. The next prime is 684029345825303. The reversal of 684029345825280 is 82528543920486.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×684029345825280² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83509865985 + ... + 83509874175.

Almost surely, 2^{684029345825280} is an apocalyptic number.

684029345825280 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 684029345825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424714700423168).

684029345825280 is an abundant number, since it is smaller than the sum of its proper divisors (2165400055021056).

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

684029345825280 is a wasteful number, since it uses less digits than its factorization.

684029345825280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8606 (or 8571 counting only the distinct ones).

The product of its (nonzero) digits is 265420800, while the sum is 66.

The spelling of 684029345825280 in words is "six hundred eighty-four trillion, twenty-nine billion, three hundred forty-five million, eight hundred twenty-five thousand, two hundred eighty".