6819775324560 has 320 divisors, whose sum is σ = 25913761056000. Its totient is φ = 1634702192640.

The previous prime is 6819775324507. The next prime is 6819775324577. The reversal of 6819775324560 is 654235779186.

6819775324560 is a `hidden beast` number, since 6 + 8 + 1 + 97 + 7 + 532 + 4 + 5 + 6 + 0 = 666.

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, 502126 + ... + 3727154.

It is an arithmetic number, because the mean of its divisors is an integer number (80980503300).

It is a 1-persistent number, because it is pandigital, but 2⋅6819775324560 = 13639550649120 is not.

Almost surely, 2^{6819775324560} is an apocalyptic number.

6819775324560 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 6819775324560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12956880528000).

6819775324560 is an abundant number, since it is smaller than the sum of its proper divisors (19093985731440).

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

6819775324560 is a wasteful number, since it uses less digits than its factorization.

6819775324560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3225151 (or 3225139 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 6819775324560 in words is "six trillion, eight hundred nineteen billion, seven hundred seventy-five million, three hundred twenty-four thousand, five hundred sixty".