6812920800 has 864 divisors, whose sum is σ = 29549046240. Its totient is φ = 1509580800.

The previous prime is 6812920783. The next prime is 6812920819. The reversal of 6812920800 is 80292186.

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

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 143 ways as a sum of consecutive naturals, for example, 43394322 + ... + 43394478.

It is an arithmetic number, because the mean of its divisors is an integer number (34200285).

Almost surely, 2^6812920800 is an apocalyptic number.

6812920800 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 6812920800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14774523120).

6812920800 is an abundant number, since it is smaller than the sum of its proper divisors (22736125440).

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

6812920800 is a wasteful number, since it uses less digits than its factorization.

6812920800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 6812920800 is about 82540.4191896310. The cubic root of 6812920800 is about 1895.7356625553.

The spelling of 6812920800 in words is "six billion, eight hundred twelve million, nine hundred twenty thousand, eight hundred".