6238560384000 has 1232 divisors, whose sum is σ = 26671467004416. Its totient is φ = 1425807360000.

The previous prime is 6238560383989. The next prime is 6238560384013. The reversal of 6238560384000 is 4830658326.

It is a happy number.

6238560384000 is a `hidden beast` number, since 6 + 2 + 3 + 8 + 560 + 3 + 84 + 0 + 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 111 ways as a sum of consecutive naturals, for example, 653179225 + ... + 653188775.

Almost surely, 2^{6238560384000} is an apocalyptic number.

6238560384000 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 6238560384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13335733502208).

6238560384000 is an abundant number, since it is smaller than the sum of its proper divisors (20432906620416).

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

6238560384000 is an frugal number, since it uses more digits than its factorization.

6238560384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9611 (or 9568 counting only the distinct ones).

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

The spelling of 6238560384000 in words is "six trillion, two hundred thirty-eight billion, five hundred sixty million, three hundred eighty-four thousand".