6814322968320 has 3456 divisors, whose sum is σ = 31373274240000. Its totient is φ = 1390560804864.

The previous prime is 6814322968309. The next prime is 6814322968361. The reversal of 6814322968320 is 238692234186.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-3 number, since 3×6814322968320³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 62516724426 + ... + 62516724534.

It is an arithmetic number, because the mean of its divisors is an integer number (9077915000).

Almost surely, 2^{6814322968320} is an apocalyptic number.

6814322968320 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 6814322968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15686637120000).

6814322968320 is an abundant number, since it is smaller than the sum of its proper divisors (24558951271680).

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

6814322968320 is a wasteful number, since it uses less digits than its factorization.

6814322968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 6814322968320 in words is "six trillion, eight hundred fourteen billion, three hundred twenty-two million, nine hundred sixty-eight thousand, three hundred twenty".