6024135468 has 72 divisors (see below), whose sum is σ = 15250930128. Its totient is φ = 1849905408.

The previous prime is 6024135457. The next prime is 6024135473. The reversal of 6024135468 is 8645314206.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1126930 + ... + 1132262.

It is an arithmetic number, because the mean of its divisors is an integer number (211818474).

Almost surely, 2^6024135468 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 6024135468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7625465064).

6024135468 is an abundant number, since it is smaller than the sum of its proper divisors (9226794660).

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

6024135468 is a wasteful number, since it uses less digits than its factorization.

6024135468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5923 (or 5908 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 6024135468 is about 77615.3043413475. The cubic root of 6024135468 is about 1819.5538362124.

The spelling of 6024135468 in words is "six billion, twenty-four million, one hundred thirty-five thousand, four hundred sixty-eight".