684086442688 has 112 divisors (see below), whose sum is σ = 1487673167904. Its totient is φ = 309527101440.

The previous prime is 684086442659. The next prime is 684086442707. The reversal of 684086442688 is 886244680486.

It is a super-2 number, since 2×684086442688² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267533506 + ... + 267536062.

It is an arithmetic number, because the mean of its divisors is an integer number (13282796142).

Almost surely, 2^684086442688 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 684086442688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743836583952).

684086442688 is an abundant number, since it is smaller than the sum of its proper divisors (803586725216).

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

684086442688 is a wasteful number, since it uses less digits than its factorization.

684086442688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4170 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 113246208, while the sum is 64.

The spelling of 684086442688 in words is "six hundred eighty-four billion, eighty-six million, four hundred forty-two thousand, six hundred eighty-eight".