6841964764800 has 3072 divisors, whose sum is σ = 29630560665600. Its totient is φ = 1545246720000.

The previous prime is 6841964764799. The next prime is 6841964764807. The reversal of 6841964764800 is 84674691486.

6841964764800 is a `hidden beast` number, since 6 + 84 + 1 + 9 + 6 + 4 + 76 + 480 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (6841964764807) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 112163356770 + ... + 112163356830.

It is an arithmetic number, because the mean of its divisors is an integer number (9645364800).

Almost surely, 2^{6841964764800} is an apocalyptic number.

6841964764800 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 6841964764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14815280332800).

6841964764800 is an abundant number, since it is smaller than the sum of its proper divisors (22788595900800).

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

6841964764800 is a wasteful number, since it uses less digits than its factorization.

6841964764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 6841964764800 in words is "six trillion, eight hundred forty-one billion, nine hundred sixty-four million, seven hundred sixty-four thousand, eight hundred".