6819581043360 has 1728 divisors, whose sum is σ = 26696826059904. Its totient is φ = 1642423910400.

The previous prime is 6819581043313. The next prime is 6819581043371. The reversal of 6819581043360 is 633401859186.

6819581043360 is a `hidden beast` number, since 6 + 8 + 19 + 581 + 0 + 43 + 3 + 6 + 0 = 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 = 6819581043297 and 6819581043306.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 52057870495 + ... + 52057870625.

It is an arithmetic number, because the mean of its divisors is an integer number (15449552118).

Almost surely, 2^{6819581043360} is an apocalyptic number.

6819581043360 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 6819581043360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13348413029952).

6819581043360 is an abundant number, since it is smaller than the sum of its proper divisors (19877245016544).

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

6819581043360 is a wasteful number, since it uses less digits than its factorization.

6819581043360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 6819581043360 in words is "six trillion, eight hundred nineteen billion, five hundred eighty-one million, forty-three thousand, three hundred sixty".