680000001120 has 432 divisors, whose sum is σ = 2661544974816. Its totient is φ = 157680230400.

The previous prime is 680000001103. The next prime is 680000001151. The reversal of 680000001120 is 21100000086.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 680000001093 and 680000001102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3922680 + ... + 4092360.

It is an arithmetic number, because the mean of its divisors is an integer number (6160983738).

Almost surely, 2^680000001120 is an apocalyptic number.

680000001120 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 680000001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330772487408).

680000001120 is an abundant number, since it is smaller than the sum of its proper divisors (1981544973696).

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

680000001120 is a wasteful number, since it uses less digits than its factorization.

680000001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169747 (or 169725 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The spelling of 680000001120 in words is "six hundred eighty billion, one thousand, one hundred twenty".