806868216000 has 2240 divisors, whose sum is σ = 3781597906944. Its totient is φ = 164975616000.

The previous prime is 806868215957. The next prime is 806868216001. The reversal of 806868216000 is 612868608.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (806868216001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5139287922 + ... + 5139288078.

Almost surely, 2^806868216000 is an apocalyptic number.

806868216000 is a gapful number since it is divisible by the number (80) 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 806868216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890798953472).

806868216000 is an abundant number, since it is smaller than the sum of its proper divisors (2974729690944).

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

806868216000 is a wasteful number, since it uses less digits than its factorization.

806868216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 806868216000 in words is "eight hundred six billion, eight hundred sixty-eight million, two hundred sixteen thousand".