680644890050544 has 640 divisors, whose sum is σ = 2113147035648000. Its totient is φ = 209351193891840.

The previous prime is 680644890050441. The next prime is 680644890050549. The reversal of 680644890050544 is 445050098446086.

680644890050544 is a `hidden beast` number, since 6 + 8 + 0 + 6 + 4 + 4 + 89 + 0 + 0 + 5 + 0 + 544 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680644890050549) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6073497199 + ... + 6073609265.

It is an arithmetic number, because the mean of its divisors is an integer number (3301792243200).

Almost surely, 2^{680644890050544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680644890050544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056573517824000).

680644890050544 is an abundant number, since it is smaller than the sum of its proper divisors (1432502145597456).

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

680644890050544 is a wasteful number, since it uses less digits than its factorization.

680644890050544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112410 (or 112398 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 680644890050544 in words is "six hundred eighty trillion, six hundred forty-four billion, eight hundred ninety million, fifty thousand, five hundred forty-four".