6846073074624 has 448 divisors, whose sum is σ = 21554862981120. Its totient is φ = 1877133189120.

The previous prime is 6846073074571. The next prime is 6846073074667. The reversal of 6846073074624 is 4264703706486.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×6846073074624³ (a number of 39 digits) contains 333 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1093094917 + ... + 1093101179.

It is an arithmetic number, because the mean of its divisors is an integer number (48113533440).

Almost surely, 2^{6846073074624} is an apocalyptic number.

6846073074624 is a gapful number since it is divisible by the number (64) 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 6846073074624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10777431490560).

6846073074624 is an abundant number, since it is smaller than the sum of its proper divisors (14708789906496).

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

6846073074624 is a wasteful number, since it uses less digits than its factorization.

6846073074624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6648 (or 6638 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 57.

The spelling of 6846073074624 in words is "six trillion, eight hundred forty-six billion, seventy-three million, seventy-four thousand, six hundred twenty-four".