682369584906240 has 2880 divisors, whose sum is σ = 3069790258848768. Its totient is φ = 141263319859200.

The previous prime is 682369584906199. The next prime is 682369584906283. The reversal of 682369584906240 is 42609485963286.

682369584906240 is a `hidden beast` number, since 6 + 8 + 2 + 3 + 6 + 95 + 8 + 490 + 6 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×682369584906240² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 191 ways as a sum of consecutive naturals, for example, 516555324780 + ... + 516555326100.

Almost surely, 2^{682369584906240} is an apocalyptic number.

682369584906240 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 682369584906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534895129424384).

682369584906240 is an abundant number, since it is smaller than the sum of its proper divisors (2387420673942528).

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

682369584906240 is a wasteful number, since it uses less digits than its factorization.

682369584906240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 1074954240, while the sum is 72.

The spelling of 682369584906240 in words is "six hundred eighty-two trillion, three hundred sixty-nine billion, five hundred eighty-four million, nine hundred six thousand, two hundred forty".