6413283583200 has 1152 divisors, whose sum is σ = 25367085152640. Its totient is φ = 1554304204800.

The previous prime is 6413283583193. The next prime is 6413283583271. The reversal of 6413283583200 is 23853823146.

6413283583200 is a `hidden beast` number, since 6 + 41 + 3 + 2 + 8 + 3 + 583 + 20 + 0 = 666.

It is a super-2 number, since 2×6413283583200² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6564261112 + ... + 6564262088.

It is an arithmetic number, because the mean of its divisors is an integer number (22020039195).

Almost surely, 2^{6413283583200} is an apocalyptic number.

6413283583200 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 6413283583200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12683542576320).

6413283583200 is an abundant number, since it is smaller than the sum of its proper divisors (18953801569440).

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

6413283583200 is a wasteful number, since it uses less digits than its factorization.

6413283583200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 6413283583200 in words is "six trillion, four hundred thirteen billion, two hundred eighty-three million, five hundred eighty-three thousand, two hundred".