682199814960 has 720 divisors, whose sum is σ = 2588653619136. Its totient is φ = 160143802368.

The previous prime is 682199814953. The next prime is 682199814971. The reversal of 682199814960 is 69418991286.

682199814960 is a `hidden beast` number, since 68 + 2 + 1 + 9 + 9 + 81 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 621877132 + ... + 621878228.

Almost surely, 2^682199814960 is an apocalyptic number.

682199814960 is a gapful number since it is divisible by the number (60) 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 682199814960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294326809568).

682199814960 is an abundant number, since it is smaller than the sum of its proper divisors (1906453804176).

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

682199814960 is a wasteful number, since it uses less digits than its factorization.

682199814960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 682199814960 in words is "six hundred eighty-two billion, one hundred ninety-nine million, eight hundred fourteen thousand, nine hundred sixty".