682449546240 has 2640 divisors, whose sum is σ = 3220295595264. Its totient is φ = 136559001600.

The previous prime is 682449546193. The next prime is 682449546257. The reversal of 682449546240 is 42645944286.

682449546240 is a `hidden beast` number, since 6 + 8 + 2 + 4 + 4 + 9 + 5 + 4 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9611965405 + ... + 9611965475.

Almost surely, 2^682449546240 is an apocalyptic number.

682449546240 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 682449546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610147797632).

682449546240 is an abundant number, since it is smaller than the sum of its proper divisors (2537846049024).

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

682449546240 is a wasteful number, since it uses less digits than its factorization.

682449546240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 682449546240 in words is "six hundred eighty-two billion, four hundred forty-nine million, five hundred forty-six thousand, two hundred forty".