684949834016 has 192 divisors, whose sum is σ = 1685719203840. Its totient is φ = 267338880000.

The previous prime is 684949834013. The next prime is 684949834021. The reversal of 684949834016 is 610438949486.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a self number, because there is not a number n which added to its sum of digits gives 684949834016.

It is not an unprimeable number, because it can be changed into a prime (684949834013) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 19905146 + ... + 19939526.

It is an arithmetic number, because the mean of its divisors is an integer number (8779787520).

Almost surely, 2^684949834016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 684949834016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842859601920).

684949834016 is an abundant number, since it is smaller than the sum of its proper divisors (1000769369824).

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

684949834016 is a wasteful number, since it uses less digits than its factorization.

684949834016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34599 (or 34591 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 62.

The spelling of 684949834016 in words is "six hundred eighty-four billion, nine hundred forty-nine million, eight hundred thirty-four thousand, sixteen".