682469089920 has 320 divisors, whose sum is σ = 2450869423200. Its totient is φ = 180972582912.

The previous prime is 682469089903. The next prime is 682469089931. The reversal of 682469089920 is 29980964286.

682469089920 is a `hidden beast` number, since 6 + 8 + 2 + 469 + 0 + 89 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 9242587 + ... + 9316133.

Almost surely, 2^682469089920 is an apocalyptic number.

682469089920 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 682469089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225434711600).

682469089920 is an abundant number, since it is smaller than the sum of its proper divisors (1768400333280).

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

682469089920 is a wasteful number, since it uses less digits than its factorization.

682469089920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73757 (or 73736 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 682469089920 in words is "six hundred eighty-two billion, four hundred sixty-nine million, eighty-nine thousand, nine hundred twenty".