6847178400000 has 1728 divisors, whose sum is σ = 27764685446400. Its totient is φ = 1656668160000.

The previous prime is 6847178399993. The next prime is 6847178400047. The reversal of 6847178400000 is 48717486.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10648799679 + ... + 10648800321.

It is an arithmetic number, because the mean of its divisors is an integer number (16067526300).

Almost surely, 2^{6847178400000} is an apocalyptic number.

6847178400000 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 6847178400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13882342723200).

6847178400000 is an abundant number, since it is smaller than the sum of its proper divisors (20917507046400).

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

6847178400000 is an equidigital number, since it uses as much as digits as its factorization.

6847178400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 6847178400000 in words is "six trillion, eight hundred forty-seven billion, one hundred seventy-eight million, four hundred thousand".