6842793000960 has 816 divisors, whose sum is σ = 27368002284480. Its totient is φ = 1549208125440.

The previous prime is 6842793000943. The next prime is 6842793000961. The reversal of 6842793000960 is 690003972486.

It is a happy number.

6842793000960 is a `hidden beast` number, since 6 + 8 + 4 + 279 + 300 + 0 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6842793000897 and 6842793000906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6842793000961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2250177040 + ... + 2250180080.

Almost surely, 2^{6842793000960} is an apocalyptic number.

6842793000960 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 6842793000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13684001142240).

6842793000960 is an abundant number, since it is smaller than the sum of its proper divisors (20525209283520).

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

6842793000960 is a wasteful number, since it uses less digits than its factorization.

6842793000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3200 (or 3167 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 6842793000960 in words is "six trillion, eight hundred forty-two billion, seven hundred ninety-three million, nine hundred sixty", and thus it is an aban number.