6305740232000 has 448 divisors, whose sum is σ = 18059376591360. Its totient is φ = 2155548672000.

The previous prime is 6305740231993. The next prime is 6305740232003. The reversal of 6305740232000 is 2320475036.

It is a super-3 number, since 3×6305740232000³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6305740232003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1599222029 + ... + 1599225971.

Almost surely, 2^{6305740232000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6305740232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9029688295680).

6305740232000 is an abundant number, since it is smaller than the sum of its proper divisors (11753636359360).

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

6305740232000 is a wasteful number, since it uses less digits than its factorization.

6305740232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5067 (or 5047 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The spelling of 6305740232000 in words is "six trillion, three hundred five billion, seven hundred forty million, two hundred thirty-two thousand".