6896517880320 has 640 divisors, whose sum is σ = 26618296320000. Its totient is φ = 1686065725440.

The previous prime is 6896517880313. The next prime is 6896517880321. The reversal of 6896517880320 is 230887156986.

6896517880320 is a `hidden beast` number, since 6 + 8 + 9 + 6 + 517 + 8 + 80 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (6896517880321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40626981 + ... + 40796379.

It is an arithmetic number, because the mean of its divisors is an integer number (41591088000).

Almost surely, 2^{6896517880320} is an apocalyptic number.

6896517880320 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 6896517880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13309148160000).

6896517880320 is an abundant number, since it is smaller than the sum of its proper divisors (19721778439680).

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

6896517880320 is a wasteful number, since it uses less digits than its factorization.

6896517880320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169481 (or 169459 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 6896517880320 in words is "six trillion, eight hundred ninety-six billion, five hundred seventeen million, eight hundred eighty thousand, three hundred twenty".