6024006720 has 224 divisors, whose sum is σ = 21544727040. Its totient is φ = 1584230400.

The previous prime is 6024006719. The next prime is 6024006721. The reversal of 6024006720 is 276004206.

It is an interprime number because it is at equal distance from previous prime (6024006719) and next prime (6024006721).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6024006721) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 625945 + ... + 635495.

Almost surely, 2^6024006720 is an apocalyptic number.

6024006720 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 6024006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10772363520).

6024006720 is an abundant number, since it is smaller than the sum of its proper divisors (15520720320).

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

6024006720 is a wasteful number, since it uses less digits than its factorization.

6024006720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9650 (or 9634 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 6024006720 is about 77614.4749386350. The cubic root of 6024006720 is about 1819.5408736007.

The spelling of 6024006720 in words is "six billion, twenty-four million, six thousand, seven hundred twenty".