6400868443200 has 4704 divisors, whose sum is σ = 32254967930880. Its totient is φ = 1219401216000.

The previous prime is 6400868443183. The next prime is 6400868443201. The reversal of 6400868443200 is 23448680046.

6400868443200 is a `hidden beast` number, since 64 + 0 + 0 + 86 + 84 + 432 + 0 + 0 = 666.

It is a super-4 number, since 4×6400868443200⁴ (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 (6400868443201) 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 671 ways as a sum of consecutive naturals, for example, 206479627185 + ... + 206479627215.

Almost surely, 2^{6400868443200} is an apocalyptic number.

6400868443200 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 6400868443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16127483965440).

6400868443200 is an abundant number, since it is smaller than the sum of its proper divisors (25854099487680).

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

6400868443200 is a wasteful number, since it uses less digits than its factorization.

6400868443200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 6400868443200 in words is "six trillion, four hundred billion, eight hundred sixty-eight million, four hundred forty-three thousand, two hundred".