682005895200 has 1152 divisors, whose sum is σ = 2872616140800. Its totient is φ = 152955371520.

The previous prime is 682005895199. The next prime is 682005895213. The reversal of 682005895200 is 2598500286.

682005895200 is a `hidden beast` number, since 68 + 2 + 0 + 0 + 589 + 5 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3058322289 + ... + 3058322511.

It is an arithmetic number, because the mean of its divisors is an integer number (2493590400).

Almost surely, 2^682005895200 is an apocalyptic number.

682005895200 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 682005895200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436308070400).

682005895200 is an abundant number, since it is smaller than the sum of its proper divisors (2190610245600).

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

682005895200 is a wasteful number, since it uses less digits than its factorization.

682005895200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 682005895200 in words is "six hundred eighty-two billion, five million, eight hundred ninety-five thousand, two hundred".