6846010080 has 768 divisors, whose sum is σ = 28571719680. Its totient is φ = 1337720832.

The previous prime is 6846010079. The next prime is 6846010097. The reversal of 6846010080 is 800106486.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60584104 + ... + 60584216.

It is an arithmetic number, because the mean of its divisors is an integer number (37202760).

Almost surely, 2^6846010080 is an apocalyptic number.

6846010080 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 6846010080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14285859840).

6846010080 is an abundant number, since it is smaller than the sum of its proper divisors (21725709600).

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

6846010080 is a wasteful number, since it uses less digits than its factorization.

6846010080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 6846010080 is about 82740.6192870225. The cubic root of 6846010080 is about 1898.7998034201.

The spelling of 6846010080 in words is "six billion, eight hundred forty-six million, ten thousand, eighty".