6896162350800 has 900 divisors, whose sum is σ = 26189134267296. Its totient is φ = 1737646732800.

The previous prime is 6896162350733. The next prime is 6896162350829. The reversal of 6896162350800 is 80532616986.

It is a happy number.

6896162350800 is a `hidden beast` number, since 6 + 8 + 9 + 6 + 1 + 623 + 5 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

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 polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 8503282395 + ... + 8503283205.

Almost surely, 2^{6896162350800} is an apocalyptic number.

6896162350800 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 6896162350800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13094567133648).

6896162350800 is an abundant number, since it is smaller than the sum of its proper divisors (19292971916496).

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

6896162350800 is a wasteful number, since it uses less digits than its factorization.

6896162350800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 6896162350800 in words is "six trillion, eight hundred ninety-six billion, one hundred sixty-two million, three hundred fifty thousand, eight hundred".