680608438272000 has 7200 divisors, whose sum is σ = 3172391664938496. Its totient is φ = 144473849856000.

The previous prime is 680608438271977. The next prime is 680608438272109. The reversal of 680608438272000 is 272834806086.

680608438272000 is a `hidden beast` number, since 6 + 8 + 0 + 608 + 4 + 3 + 8 + 2 + 7 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7200).

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 (13) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 9323403263964 + ... + 9323403264036.

Almost surely, 2^{680608438272000} is an apocalyptic number.

680608438272000 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 680608438272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586195832469248).

680608438272000 is an abundant number, since it is smaller than the sum of its proper divisors (2491783226666496).

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

680608438272000 is an equidigital number, since it uses as much as digits as its factorization.

680608438272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 680608438272000 in words is "six hundred eighty trillion, six hundred eight billion, four hundred thirty-eight million, two hundred seventy-two thousand".