5905104768 has 160 divisors (see below), whose sum is σ = 18607786560. Its totient is φ = 1852526592.

The previous prime is 5905104767. The next prime is 5905104773. The reversal of 5905104768 is 8674015095.

5905104768 is a `hidden beast` number, since 5 + 90 + 510 + 47 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5905104761) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 159505 + ... + 193007.

It is an arithmetic number, because the mean of its divisors is an integer number (116298666).

Almost surely, 2^5905104768 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 5905104768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9303893280).

5905104768 is an abundant number, since it is smaller than the sum of its proper divisors (12702681792).

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

5905104768 is a wasteful number, since it uses less digits than its factorization.

5905104768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33546 (or 33525 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5905104768 is about 76844.6795035284. The cubic root of 5905104768 is about 1807.4898579001.

The spelling of 5905104768 in words is "five billion, nine hundred five million, one hundred four thousand, seven hundred sixty-eight".