681551717184 has 672 divisors, whose sum is σ = 2255954279040. Its totient is φ = 200558592000.

The previous prime is 681551717183. The next prime is 681551717243. The reversal of 681551717184 is 481717155186.

681551717184 is a `hidden beast` number, since 6 + 8 + 1 + 551 + 7 + 1 + 7 + 1 + 84 = 666.

It is a super-3 number, since 3×681551717184³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 681551717184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681551717183) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2828015304 + ... + 2828015544.

It is an arithmetic number, because the mean of its divisors is an integer number (3357074820).

Almost surely, 2^681551717184 is an apocalyptic number.

681551717184 is a gapful number since it is divisible by the number (64) 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 681551717184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127977139520).

681551717184 is an abundant number, since it is smaller than the sum of its proper divisors (1574402561856).

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

681551717184 is a wasteful number, since it uses less digits than its factorization.

681551717184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 421 counting only the distinct ones).

The product of its digits is 1881600, while the sum is 54.

The spelling of 681551717184 in words is "six hundred eighty-one billion, five hundred fifty-one million, seven hundred seventeen thousand, one hundred eighty-four".