684041934672 has 240 divisors, whose sum is σ = 2077908880320. Its totient is φ = 209329920000.

The previous prime is 684041934551. The next prime is 684041934713. The reversal of 684041934672 is 276439140486.

684041934672 is a `hidden beast` number, since 6 + 8 + 404 + 193 + 46 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25395772 + ... + 25422692.

It is an arithmetic number, because the mean of its divisors is an integer number (8657953668).

Almost surely, 2^684041934672 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 684041934672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038954440160).

684041934672 is an abundant number, since it is smaller than the sum of its proper divisors (1393866945648).

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

684041934672 is a wasteful number, since it uses less digits than its factorization.

684041934672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27242 (or 27233 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 684041934672 in words is "six hundred eighty-four billion, forty-one million, nine hundred thirty-four thousand, six hundred seventy-two".