682260846624 has 144 divisors (see below), whose sum is σ = 2218910960448. Its totient is φ = 194794246656.

The previous prime is 682260846611. The next prime is 682260846661. The reversal of 682260846624 is 426648062286.

682260846624 is a `hidden beast` number, since 6 + 8 + 2 + 2 + 6 + 0 + 8 + 4 + 6 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×682260846624³ (a number of 36 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 2758254 + ... + 2995410.

It is an arithmetic number, because the mean of its divisors is an integer number (15409103892).

Almost surely, 2^682260846624 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 682260846624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109455480224).

682260846624 is an abundant number, since it is smaller than the sum of its proper divisors (1536650113824).

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

682260846624 is a wasteful number, since it uses less digits than its factorization.

682260846624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238607 (or 238596 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 682260846624 in words is "six hundred eighty-two billion, two hundred sixty million, eight hundred forty-six thousand, six hundred twenty-four".