680431449600 has 1920 divisors, whose sum is σ = 3029185167360. Its totient is φ = 146313216000.

The previous prime is 680431449563. The next prime is 680431449611. The reversal of 680431449600 is 6944134086.

680431449600 is a `hidden beast` number, since 6 + 8 + 0 + 4 + 31 + 4 + 4 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

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, 3224793495 + ... + 3224793705.

It is an arithmetic number, because the mean of its divisors is an integer number (1577700608).

Almost surely, 2^680431449600 is an apocalyptic number.

680431449600 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 680431449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514592583680).

680431449600 is an abundant number, since it is smaller than the sum of its proper divisors (2348753717760).

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

680431449600 is a wasteful number, since it uses less digits than its factorization.

680431449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 680431449600 in words is "six hundred eighty billion, four hundred thirty-one million, four hundred forty-nine thousand, six hundred".