6034258944 has 440 divisors, whose sum is σ = 21717196160. Its totient is φ = 1630347264.

The previous prime is 6034258933. The next prime is 6034258957. The reversal of 6034258944 is 4498524306.

6034258944 is a `hidden beast` number, since 60 + 3 + 4 + 2 + 589 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6034258944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11031279 + ... + 11031825.

It is an arithmetic number, because the mean of its divisors is an integer number (49357264).

Almost surely, 2^6034258944 is an apocalyptic number.

6034258944 is a gapful number since it is divisible by the number (64) 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 6034258944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10858598080).

6034258944 is an abundant number, since it is smaller than the sum of its proper divisors (15682937216).

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

6034258944 is a wasteful number, since it uses less digits than its factorization.

6034258944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 578 counting only the distinct ones).

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

The square root of 6034258944 is about 77680.4926863881. The cubic root of 6034258944 is about 1820.5725107873.

The spelling of 6034258944 in words is "six billion, thirty-four million, two hundred fifty-eight thousand, nine hundred forty-four".