6806212383600 has 720 divisors, whose sum is σ = 28440224550400. Its totient is φ = 1472485754880.

The previous prime is 6806212383589. The next prime is 6806212383643. The reversal of 6806212383600 is 63832126086.

It is a happy number.

6806212383600 is a `hidden beast` number, since 6 + 8 + 0 + 6 + 2 + 1 + 2 + 38 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-4 number, since 4×6806212383600⁴ (a number of 52 digits) contains 4444 as substring.

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

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, 580778541 + ... + 580790259.

Almost surely, 2^{6806212383600} is an apocalyptic number.

6806212383600 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 6806212383600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14220112275200).

6806212383600 is an abundant number, since it is smaller than the sum of its proper divisors (21634012166800).

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

6806212383600 is a wasteful number, since it uses less digits than its factorization.

6806212383600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12982 (or 12968 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 6806212383600 in words is "six trillion, eight hundred six billion, two hundred twelve million, three hundred eighty-three thousand, six hundred".