6039774720 has 960 divisors, whose sum is σ = 26453306880. Its totient is φ = 1289945088.

The previous prime is 6039774703. The next prime is 6039774791. The reversal of 6039774720 is 274779306.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82736604 + ... + 82736676.

It is an arithmetic number, because the mean of its divisors is an integer number (27555528).

Almost surely, 2^6039774720 is an apocalyptic number.

6039774720 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 6039774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13226653440).

6039774720 is an abundant number, since it is smaller than the sum of its proper divisors (20413532160).

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

6039774720 is an equidigital number, since it uses as much as digits as its factorization.

6039774720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 6039774720 is about 77715.9875443914. The cubic root of 6039774720 is about 1821.1270562102.

The spelling of 6039774720 in words is "six billion, thirty-nine million, seven hundred seventy-four thousand, seven hundred twenty".