684974803968 has 2112 divisors, whose sum is σ = 2822698368000. Its totient is φ = 161864220672.

The previous prime is 684974803957. The next prime is 684974803973. The reversal of 684974803968 is 869308479486.

684974803968 is a `hidden beast` number, since 6 + 8 + 497 + 48 + 0 + 3 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 684974803896 and 684974803905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7696346068 + ... + 7696346156.

Almost surely, 2^684974803968 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 684974803968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411349184000).

684974803968 is an abundant number, since it is smaller than the sum of its proper divisors (2137723564032).

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

684974803968 is a wasteful number, since it uses less digits than its factorization.

684974803968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 684974803968 in words is "six hundred eighty-four billion, nine hundred seventy-four million, eight hundred three thousand, nine hundred sixty-eight".