6846488064000 has 2912 divisors, whose sum is σ = 29563885600704. Its totient is φ = 1567044403200.

The previous prime is 6846488063977. The next prime is 6846488064029. The reversal of 6846488064000 is 4608846486.

6846488064000 is a `hidden beast` number, since 68 + 46 + 488 + 0 + 64 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 82487807959 + ... + 82487808041.

It is an arithmetic number, because the mean of its divisors is an integer number (10152433242).

Almost surely, 2^{6846488064000} is an apocalyptic number.

6846488064000 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 6846488064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14781942800352).

6846488064000 is an abundant number, since it is smaller than the sum of its proper divisors (22717397536704).

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

6846488064000 is an equidigital number, since it uses as much as digits as its factorization.

6846488064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 6846488064000 in words is "six trillion, eight hundred forty-six billion, four hundred eighty-eight million, sixty-four thousand".