6812467200 has 864 divisors, whose sum is σ = 31205502720. Its totient is φ = 1415577600.

The previous prime is 6812467187. The next prime is 6812467241. The reversal of 6812467200 is 27642186.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-4 number, since 4×6812467200⁴ (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 619315195 + ... + 619315205.

It is an arithmetic number, because the mean of its divisors is an integer number (36117480).

Almost surely, 2^6812467200 is an apocalyptic number.

6812467200 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 6812467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15602751360).

6812467200 is an abundant number, since it is smaller than the sum of its proper divisors (24393035520).

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

6812467200 is an equidigital number, since it uses as much as digits as its factorization.

6812467200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6812467200 is about 82537.6713991860. The cubic root of 6812467200 is about 1895.6935893239.

The spelling of 6812467200 in words is "six billion, eight hundred twelve million, four hundred sixty-seven thousand, two hundred".