684986949477600 has 576 divisors, whose sum is σ = 2811035377221120. Its totient is φ = 140735678054400.

The previous prime is 684986949477569. The next prime is 684986949477613. The reversal of 684986949477600 is 6774949689486.

It is a junction number, because it is equal to n+sod(n) for n = 684986949477498 and 684986949477507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4376617 + ... + 37271016.

It is an arithmetic number, because the mean of its divisors is an integer number (4880269752120).

Almost surely, 2^{684986949477600} is an apocalyptic number.

684986949477600 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 684986949477600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405517688610560).

684986949477600 is an abundant number, since it is smaller than the sum of its proper divisors (2126048427743520).

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

684986949477600 is a wasteful number, since it uses less digits than its factorization.

684986949477600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41647763 (or 41647750 counting only the distinct ones).

The product of its (nonzero) digits is 31603654656, while the sum is 87.

The spelling of 684986949477600 in words is "six hundred eighty-four trillion, nine hundred eighty-six billion, nine hundred forty-nine million, four hundred seventy-seven thousand, six hundred".