6039797760 has 168 divisors, whose sum is σ = 20937965490. Its totient is φ = 1610612736.

The previous prime is 6039797747. The next prime is 6039797783. The reversal of 6039797760 is 677979306.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (2!)²³.

It can be written as a sum of positive squares in only one way, i.e., 5435817984 + 603979776 = 73728^2 + 24576^2 .

It is a nialpdrome in base 8.

It is a zygodrome in base 4 and base 8.

It is a junction number, because it is equal to n+sod(n) for n = 6039797697 and 6039797706.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1207959550 + ... + 1207959554.

Almost surely, 2^6039797760 is an apocalyptic number.

6039797760 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 6039797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10468982745).

6039797760 is an abundant number, since it is smaller than the sum of its proper divisors (14898167730).

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

6039797760 is an frugal number, since it uses more digits than its factorization.

6039797760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 3000564, while the sum is 54.

The square root of 6039797760 is about 77716.1357762981. The cubic root of 6039797760 is about 1821.1293718989.

The spelling of 6039797760 in words is "six billion, thirty-nine million, seven hundred ninety-seven thousand, seven hundred sixty".