682046866892160 has 8192 divisors, whose sum is σ = 3388514549760000. Its totient is φ = 125411328000000.

The previous prime is 682046866892089. The next prime is 682046866892219. The reversal of 682046866892160 is 61298668640286.

It is a happy number.

682046866892160 is a `hidden beast` number, since 6 + 8 + 2 + 0 + 468 + 6 + 6 + 89 + 21 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 4516866668085 + ... + 4516866668235.

It is an arithmetic number, because the mean of its divisors is an integer number (413637030000).

Almost surely, 2^{682046866892160} is an apocalyptic number.

682046866892160 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 682046866892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694257274880000).

682046866892160 is an abundant number, since it is smaller than the sum of its proper divisors (2706467682867840).

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

682046866892160 is a wasteful number, since it uses less digits than its factorization.

682046866892160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 573308928, while the sum is 72.

The spelling of 682046866892160 in words is "six hundred eighty-two trillion, forty-six billion, eight hundred sixty-six million, eight hundred ninety-two thousand, one hundred sixty".