6442033852800 has 1536 divisors, whose sum is σ = 29088538214400. Its totient is φ = 1355835801600.

The previous prime is 6442033852783. The next prime is 6442033852829. The reversal of 6442033852800 is 82583302446.

6442033852800 is a `hidden beast` number, since 6 + 44 + 203 + 385 + 28 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 4379356065 + ... + 4379357535.

It is an arithmetic number, because the mean of its divisors is an integer number (18937850400).

Almost surely, 2^{6442033852800} is an apocalyptic number.

6442033852800 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 6442033852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14544269107200).

6442033852800 is an abundant number, since it is smaller than the sum of its proper divisors (22646504361600).

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

6442033852800 is a wasteful number, since it uses less digits than its factorization.

6442033852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 6442033852800 in words is "six trillion, four hundred forty-two billion, thirty-three million, eight hundred fifty-two thousand, eight hundred".