680961945600 has 1560 divisors, whose sum is σ = 2765199690000. Its totient is φ = 164985569280.

The previous prime is 680961945593. The next prime is 680961945611. The reversal of 680961945600 is 6549169086.

It is a happy number.

680961945600 is a `hidden beast` number, since 68 + 0 + 9 + 6 + 19 + 4 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4570214326 + ... + 4570214474.

Almost surely, 2^680961945600 is an apocalyptic number.

680961945600 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 680961945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382599845000).

680961945600 is an abundant number, since it is smaller than the sum of its proper divisors (2084237744400).

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

680961945600 is a wasteful number, since it uses less digits than its factorization.

680961945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 680961945600 in words is "six hundred eighty billion, nine hundred sixty-one million, nine hundred forty-five thousand, six hundred".