6380067582768 has 640 divisors, whose sum is σ = 20304860405760. Its totient is φ = 1701181440000.

The previous prime is 6380067582743. The next prime is 6380067582803. The reversal of 6380067582768 is 8672857600836.

It is a super-2 number, since 2×6380067582768² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 6380067582699 and 6380067582708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10111041813 + ... + 10111042443.

It is an arithmetic number, because the mean of its divisors is an integer number (31726344384).

Almost surely, 2^{6380067582768} is an apocalyptic number.

6380067582768 is a gapful number since it is divisible by the number (68) 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 6380067582768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10152430202880).

6380067582768 is an abundant number, since it is smaller than the sum of its proper divisors (13924792822992).

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

6380067582768 is a wasteful number, since it uses less digits than its factorization.

6380067582768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 66.

The spelling of 6380067582768 in words is "six trillion, three hundred eighty billion, sixty-seven million, five hundred eighty-two thousand, seven hundred sixty-eight".