7104461045760 has 2048 divisors, whose sum is σ = 29647404864000. Its totient is φ = 1607643168768.

The previous prime is 7104461045729. The next prime is 7104461045761. The reversal of 7104461045760 is 675401644017.

7104461045760 is a `hidden beast` number, since 7 + 10 + 4 + 4 + 61 + 0 + 4 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7104461045761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 165220024299 + ... + 165220024341.

Almost surely, 2^{7104461045760} 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 7104461045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14823702432000).

7104461045760 is an abundant number, since it is smaller than the sum of its proper divisors (22542943818240).

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

7104461045760 is an equidigital number, since it uses as much as digits as its factorization.

7104461045760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

Adding to 7104461045760 its reverse (675401644017), we get a palindrome (7779862689777).

The spelling of 7104461045760 in words is "seven trillion, one hundred four billion, four hundred sixty-one million, forty-five thousand, seven hundred sixty".