806399193600 has 4320 divisors, whose sum is σ = 4200552772416. Its totient is φ = 150493593600.

The previous prime is 806399193499. The next prime is 806399193619. The reversal of 806399193600 is 6391993608.

806399193600 is a `hidden beast` number, since 8 + 0 + 6 + 399 + 193 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 21794572782 + ... + 21794572818.

Almost surely, 2^806399193600 is an apocalyptic number.

806399193600 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 806399193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100276386208).

806399193600 is an abundant number, since it is smaller than the sum of its proper divisors (3394153578816).

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

806399193600 is a wasteful number, since it uses less digits than its factorization.

806399193600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

It can be divided in two parts, 806399 and 193600, that added together give a palindrome (999999).

The spelling of 806399193600 in words is "eight hundred six billion, three hundred ninety-nine million, one hundred ninety-three thousand, six hundred".