6819383546880 has 1408 divisors, whose sum is σ = 24992553369600. Its totient is φ = 1576726953984.

The previous prime is 6819383546831. The next prime is 6819383546887. The reversal of 6819383546880 is 886453839186.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6819383546887) 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, 49776522172 + ... + 49776522308.

Almost surely, 2^{6819383546880} is an apocalyptic number.

6819383546880 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 6819383546880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12496276684800).

6819383546880 is an abundant number, since it is smaller than the sum of its proper divisors (18173169822720).

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

6819383546880 is a wasteful number, since it uses less digits than its factorization.

6819383546880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 69.

The spelling of 6819383546880 in words is "six trillion, eight hundred nineteen billion, three hundred eighty-three million, five hundred forty-six thousand, eight hundred eighty".