7104380249952 has 288 divisors, whose sum is σ = 21605158149120. Its totient is φ = 2208944855040.

The previous prime is 7104380249947. The next prime is 7104380249959. The reversal of 7104380249952 is 2599420834017.

7104380249952 is a `hidden beast` number, since 7 + 10 + 4 + 380 + 249 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7104380249959) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 847066303 + ... + 847074689.

It is an arithmetic number, because the mean of its divisors is an integer number (75017910240).

Almost surely, 2^{7104380249952} is an apocalyptic number.

7104380249952 is a gapful number since it is divisible by the number (72) 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 7104380249952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10802579074560).

7104380249952 is an abundant number, since it is smaller than the sum of its proper divisors (14500777899168).

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

7104380249952 is a wasteful number, since it uses less digits than its factorization.

7104380249952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11586 (or 11575 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 7104380249952 in words is "seven trillion, one hundred four billion, three hundred eighty million, two hundred forty-nine thousand, nine hundred fifty-two".