682560146688 has 864 divisors, whose sum is σ = 2336453296128. Its totient is φ = 175575859200.

The previous prime is 682560146687. The next prime is 682560146717. The reversal of 682560146688 is 886641065286.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682560146687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2518671993 + ... + 2518672263.

It is an arithmetic number, because the mean of its divisors is an integer number (2704228352).

Almost surely, 2^682560146688 is an apocalyptic number.

682560146688 is a gapful number since it is divisible by the number (68) 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 682560146688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168226648064).

682560146688 is an abundant number, since it is smaller than the sum of its proper divisors (1653893149440).

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

682560146688 is a wasteful number, since it uses less digits than its factorization.

682560146688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 60.

The spelling of 682560146688 in words is "six hundred eighty-two billion, five hundred sixty million, one hundred forty-six thousand, six hundred eighty-eight".