6845786357760 has 2016 divisors, whose sum is σ = 29706631960320. Its totient is φ = 1479901446144.

The previous prime is 6845786357687. The next prime is 6845786357801. The reversal of 6845786357760 is 677536875486.

6845786357760 is a `hidden beast` number, since 6 + 8 + 45 + 7 + 8 + 6 + 3 + 577 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 76918947796 + ... + 76918947884.

It is an arithmetic number, because the mean of its divisors is an integer number (14735432520).

Almost surely, 2^{6845786357760} is an apocalyptic number.

6845786357760 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 6845786357760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14853315980160).

6845786357760 is an abundant number, since it is smaller than the sum of its proper divisors (22860845602560).

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

6845786357760 is an frugal number, since it uses more digits than its factorization.

6845786357760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1422489600, while the sum is 72.

The spelling of 6845786357760 in words is "six trillion, eight hundred forty-five billion, seven hundred eighty-six million, three hundred fifty-seven thousand, seven hundred sixty".