6004791760 has 160 divisors (see below), whose sum is σ = 16090398720. Its totient is φ = 2063577600.

The previous prime is 6004791739. The next prime is 6004791763. The reversal of 6004791760 is 671974006.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6004791763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1170481 + ... + 1175599.

It is an arithmetic number, because the mean of its divisors is an integer number (100564992).

Almost surely, 2^6004791760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6004791760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8045199360).

6004791760 is an abundant number, since it is smaller than the sum of its proper divisors (10085606960).

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

6004791760 is a wasteful number, since it uses less digits than its factorization.

6004791760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5217 (or 5211 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 6004791760 is about 77490.5914288954. The cubic root of 6004791760 is about 1817.6041977690.

The spelling of 6004791760 in words is "six billion, four million, seven hundred ninety-one thousand, seven hundred sixty".