680982805077120 has 4608 divisors, whose sum is σ = 3217678657502400. Its totient is φ = 131444448952320.

The previous prime is 680982805077109. The next prime is 680982805077163. The reversal of 680982805077120 is 21770508289086.

680982805077120 is a `hidden beast` number, since 6 + 8 + 0 + 98 + 28 + 0 + 507 + 7 + 12 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 1912157964864 + 679070647112256 = 1382808^2 + 26058984^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 666976302210 + ... + 666976303230.

Almost surely, 2^{680982805077120} is an apocalyptic number.

680982805077120 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 680982805077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608839328751200).

680982805077120 is an abundant number, since it is smaller than the sum of its proper divisors (2536695852425280).

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

680982805077120 is a wasteful number, since it uses less digits than its factorization.

680982805077120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 680982805077120 in words is "six hundred eighty trillion, nine hundred eighty-two billion, eight hundred five million, seventy-seven thousand, one hundred twenty".