6033128742 has 72 divisors (see below), whose sum is σ = 13912626000. Its totient is φ = 1889111808.

The previous prime is 6033128741. The next prime is 6033128779. The reversal of 6033128742 is 2478213306.

It is a happy number.

6033128742 is a `hidden beast` number, since 6 + 0 + 331 + 287 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6033128697 and 6033128706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6033128741) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4311759 + ... + 4313157.

Almost surely, 2^6033128742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6033128742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6956313000).

6033128742 is an abundant number, since it is smaller than the sum of its proper divisors (7879497258).

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

6033128742 is a wasteful number, since it uses less digits than its factorization.

6033128742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6033128742 is about 77673.2176622032. The cubic root of 6033128742 is about 1820.4588407583.

The spelling of 6033128742 in words is "six billion, thirty-three million, one hundred twenty-eight thousand, seven hundred forty-two".