6104535840 has 480 divisors, whose sum is σ = 24435069120. Its totient is φ = 1422821376.

The previous prime is 6104535839. The next prime is 6104535851. The reversal of 6104535840 is 485354016.

It is a happy number.

6104535840 is a `hidden beast` number, since 610 + 4 + 5 + 35 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6104535795 and 6104535804.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3200167 + ... + 3202073.

It is an arithmetic number, because the mean of its divisors is an integer number (50906394).

Almost surely, 2^6104535840 is an apocalyptic number.

6104535840 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 6104535840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12217534560).

6104535840 is an abundant number, since it is smaller than the sum of its proper divisors (18330533280).

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

6104535840 is a wasteful number, since it uses less digits than its factorization.

6104535840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 6104535840 is about 78131.5291031732. The cubic root of 6104535840 is about 1827.6129047702.

Adding to 6104535840 its reverse (485354016), we get a palindrome (6589889856).

The spelling of 6104535840 in words is "six billion, one hundred four million, five hundred thirty-five thousand, eight hundred forty".