6846499800 has 576 divisors, whose sum is σ = 27907588800. Its totient is φ = 1470873600.

The previous prime is 6846499799. The next prime is 6846499817. The reversal of 6846499800 is 89946486.

It is a super-2 number, since 2×6846499800² = 93749119022800080000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14981172 + ... + 14981628.

It is an arithmetic number, because the mean of its divisors is an integer number (48450675).

Almost surely, 2^6846499800 is an apocalyptic number.

6846499800 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 6846499800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13953794400).

6846499800 is an abundant number, since it is smaller than the sum of its proper divisors (21061089000).

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

6846499800 is a wasteful number, since it uses less digits than its factorization.

6846499800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 6846499800 is about 82743.5786028136. The cubic root of 6846499800 is about 1898.8450783592.

The spelling of 6846499800 in words is "six billion, eight hundred forty-six million, four hundred ninety-nine thousand, eight hundred".