680957244240 has 640 divisors, whose sum is σ = 2746984181760. Its totient is φ = 135509262336.

The previous prime is 680957244113. The next prime is 680957244241. The reversal of 680957244240 is 42442759086.

680957244240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680957244241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96682159 + ... + 96689201.

It is an arithmetic number, because the mean of its divisors is an integer number (4292162784).

Almost surely, 2^680957244240 is an apocalyptic number.

680957244240 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 680957244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373492090880).

680957244240 is an abundant number, since it is smaller than the sum of its proper divisors (2066026937520).

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

680957244240 is a wasteful number, since it uses less digits than its factorization.

680957244240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7331 (or 7325 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 680957244240 in words is "six hundred eighty billion, nine hundred fifty-seven million, two hundred forty-four thousand, two hundred forty".