6104260800 has 504 divisors, whose sum is σ = 23989558320. Its totient is φ = 1459814400.

The previous prime is 6104260793. The next prime is 6104260801. The reversal of 6104260800 is 80624016.

6104260800 is a `hidden beast` number, since 6 + 10 + 42 + 608 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (6104260801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14097384 + ... + 14097816.

It is an arithmetic number, because the mean of its divisors is an integer number (47598330).

Almost surely, 2^6104260800 is an apocalyptic number.

6104260800 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 6104260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11994779160).

6104260800 is an abundant number, since it is smaller than the sum of its proper divisors (17885297520).

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

6104260800 is a wasteful number, since it uses less digits than its factorization.

6104260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6104260800 is about 78129.7689744440. The cubic root of 6104260800 is about 1827.5854566444.

Adding to 6104260800 its reverse (80624016), we get a palindrome (6184884816).

The spelling of 6104260800 in words is "six billion, one hundred four million, two hundred sixty thousand, eight hundred".