6039993960 has 1024 divisors, whose sum is σ = 27946598400. Its totient is φ = 1119744000.

The previous prime is 6039993941. The next prime is 6039993983. The reversal of 6039993960 is 693999306.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6039993897 and 6039993906.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 39999885 + ... + 40000035.

It is an arithmetic number, because the mean of its divisors is an integer number (27291600).

Almost surely, 2^6039993960 is an apocalyptic number.

6039993960 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 6039993960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13973299200).

6039993960 is an abundant number, since it is smaller than the sum of its proper divisors (21906604440).

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

6039993960 is a wasteful number, since it uses less digits than its factorization.

6039993960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2125764, while the sum is 54.

The square root of 6039993960 is about 77717.3980521736. The cubic root of 6039993960 is about 1821.1490911968.

It can be divided in two parts, 6039 and 993960, that added together give a palindrome (999999).

The spelling of 6039993960 in words is "six billion, thirty-nine million, nine hundred ninety-three thousand, nine hundred sixty".