6380680642560 has 1216 divisors, whose sum is σ = 26575059456000. Its totient is φ = 1422145880064.

The previous prime is 6380680642541. The next prime is 6380680642597. The reversal of 6380680642560 is 652460860836.

It is a happy number.

6380680642560 is a `hidden beast` number, since 6 + 3 + 80 + 6 + 80 + 6 + 425 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6380680642497 and 6380680642506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10652221141 + ... + 10652221739.

Almost surely, 2^{6380680642560} is an apocalyptic number.

6380680642560 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 6380680642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13287529728000).

6380680642560 is an abundant number, since it is smaller than the sum of its proper divisors (20194378813440).

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

6380680642560 is an frugal number, since it uses more digits than its factorization.

6380680642560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 6380680642560 in words is "six trillion, three hundred eighty billion, six hundred eighty million, six hundred forty-two thousand, five hundred sixty".