6442130620800 has 2304 divisors, whose sum is σ = 28971245721600. Its totient is φ = 1382032834560.

The previous prime is 6442130620787. The next prime is 6442130620811. The reversal of 6442130620800 is 80260312446.

6442130620800 is a `hidden beast` number, since 6 + 4 + 4 + 21 + 3 + 0 + 620 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5840553049 + ... + 5840554151.

It is an arithmetic number, because the mean of its divisors is an integer number (12574325400).

Almost surely, 2^{6442130620800} is an apocalyptic number.

6442130620800 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 6442130620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14485622860800).

6442130620800 is an abundant number, since it is smaller than the sum of its proper divisors (22529115100800).

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

6442130620800 is a wasteful number, since it uses less digits than its factorization.

6442130620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 6442130620800 in words is "six trillion, four hundred forty-two billion, one hundred thirty million, six hundred twenty thousand, eight hundred".