680127840000 has 2520 divisors, whose sum is σ = 3140686533600. Its totient is φ = 146313216000.

The previous prime is 680127839939. The next prime is 680127840001. The reversal of 680127840000 is 48721086.

680127840000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680127840001) by changing a digit.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 40007519992 + ... + 40007520008.

It is an arithmetic number, because the mean of its divisors is an integer number (1246304180).

Almost surely, 2^680127840000 is an apocalyptic number.

680127840000 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 680127840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570343266800).

680127840000 is an abundant number, since it is smaller than the sum of its proper divisors (2460558693600).

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

680127840000 is an frugal number, since it uses more digits than its factorization.

680127840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 680127840000 in words is "six hundred eighty billion, one hundred twenty-seven million, eight hundred forty thousand".