6024822960 has 240 divisors, whose sum is σ = 20463645600. Its totient is φ = 1465491456.

The previous prime is 6024822953. The next prime is 6024822983. The reversal of 6024822960 is 692284206.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3609006 + ... + 3610674.

It is an arithmetic number, because the mean of its divisors is an integer number (85265190).

Almost surely, 2^6024822960 is an apocalyptic number.

6024822960 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 6024822960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10231822800).

6024822960 is an abundant number, since it is smaller than the sum of its proper divisors (14438822640).

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

6024822960 is a wasteful number, since it uses less digits than its factorization.

6024822960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 6024822960 is about 77619.7330580311. The cubic root of 6024822960 is about 1819.6230511854.

The spelling of 6024822960 in words is "six billion, twenty-four million, eight hundred twenty-two thousand, nine hundred sixty".