680185036800 has 756 divisors, whose sum is σ = 2582263969320. Its totient is φ = 175531622400.

The previous prime is 680185036793. The next prime is 680185036807. The reversal of 680185036800 is 8630581086.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

680185036800 is a `hidden beast` number, since 6 + 80 + 1 + 8 + 503 + 68 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (680185036793) and next prime (680185036807).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (680185036807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21941452785 + ... + 21941452815.

Almost surely, 2^680185036800 is an apocalyptic number.

680185036800 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 680185036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291131984660).

680185036800 is an abundant number, since it is smaller than the sum of its proper divisors (1902078932520).

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

680185036800 is an frugal number, since it uses more digits than its factorization.

680185036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 680185036800 in words is "six hundred eighty billion, one hundred eighty-five million, thirty-six thousand, eight hundred".