6798169866240 has 1152 divisors, whose sum is σ = 26381835043200. Its totient is φ = 1674231939072.

The previous prime is 6798169866227. The next prime is 6798169866253. The reversal of 6798169866240 is 426689618976.

6798169866240 is a `hidden beast` number, since 67 + 98 + 169 + 86 + 6 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (6798169866227) and next prime (6798169866253).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×6798169866240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234419650546 + ... + 234419650574.

It is an arithmetic number, because the mean of its divisors is an integer number (22900898475).

Almost surely, 2^{6798169866240} is an apocalyptic number.

6798169866240 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 6798169866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13190917521600).

6798169866240 is an abundant number, since it is smaller than the sum of its proper divisors (19583665176960).

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

6798169866240 is an frugal number, since it uses more digits than its factorization.

6798169866240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 6798169866240 in words is "six trillion, seven hundred ninety-eight billion, one hundred sixty-nine million, eight hundred sixty-six thousand, two hundred forty".