4305680896680 has 160 divisors (see below), whose sum is σ = 14473834531200. Its totient is φ = 1148025861504.

The previous prime is 4305680896679. The next prime is 4305680896697. The reversal of 4305680896680 is 866980865034.

4305680896680 is a `hidden beast` number, since 4 + 3 + 0 + 568 + 0 + 8 + 9 + 6 + 68 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24871461 + ... + 25043979.

It is an arithmetic number, because the mean of its divisors is an integer number (90461465820).

Almost surely, 2^{4305680896680} is an apocalyptic number.

4305680896680 is a gapful number since it is divisible by the number (40) 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 4305680896680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7236917265600).

4305680896680 is an abundant number, since it is smaller than the sum of its proper divisors (10168153634520).

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

4305680896680 is a wasteful number, since it uses less digits than its factorization.

4305680896680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180245 (or 180232 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 4305680896680 in words is "four trillion, three hundred five billion, six hundred eighty million, eight hundred ninety-six thousand, six hundred eighty".