9407047104 has 1008 divisors, whose sum is σ = 38148085248. Its totient is φ = 2233516032.

The previous prime is 9407047063. The next prime is 9407047109. The reversal of 9407047104 is 4017407049.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9407047109) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 409002037 + ... + 409002059.

Almost surely, 2^9407047104 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 9407047104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19074042624).

9407047104 is an abundant number, since it is smaller than the sum of its proper divisors (28741038144).

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

9407047104 is a wasteful number, since it uses less digits than its factorization.

9407047104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 9407047104 is about 96989.9330033793. The cubic root of 9407047104 is about 2110.9815595904.

The spelling of 9407047104 in words is "nine billion, four hundred seven million, forty-seven thousand, one hundred four".