6487206343200 has 864 divisors, whose sum is σ = 27241608925440. Its totient is φ = 1489875379200.

The previous prime is 6487206343187. The next prime is 6487206343207. The reversal of 6487206343200 is 23436027846.

6487206343200 is a `hidden beast` number, since 6 + 4 + 8 + 7 + 2 + 0 + 634 + 3 + 2 + 0 + 0 = 666.

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

It is a super-2 number, since 2×6487206343200² (a number of 26 digits) contains 22 as substring.

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 (6487206343207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40549767 + ... + 40709433.

It is an arithmetic number, because the mean of its divisors is an integer number (31529639960).

Almost surely, 2^{6487206343200} is an apocalyptic number.

6487206343200 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 6487206343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13620804462720).

6487206343200 is an abundant number, since it is smaller than the sum of its proper divisors (20754402582240).

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

6487206343200 is a wasteful number, since it uses less digits than its factorization.

6487206343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159732 (or 159707 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 6487206343200 in words is "six trillion, four hundred eighty-seven billion, two hundred six million, three hundred forty-three thousand, two hundred".