684800854128 has 120 divisors (see below), whose sum is σ = 2029733209296. Its totient is φ = 214785792000.

The previous prime is 684800854097. The next prime is 684800854169. The reversal of 684800854128 is 821458008486.

684800854128 is a `hidden beast` number, since 68 + 480 + 0 + 85 + 4 + 1 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10398103 + ... + 10463753.

Almost surely, 2^684800854128 is an apocalyptic number.

684800854128 is a gapful number since it is divisible by the number (68) 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 684800854128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014866604648).

684800854128 is an abundant number, since it is smaller than the sum of its proper divisors (1344932355168).

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

684800854128 is a wasteful number, since it uses less digits than its factorization.

684800854128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69943 (or 69934 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 684800854128 in words is "six hundred eighty-four billion, eight hundred million, eight hundred fifty-four thousand, one hundred twenty-eight".