4717190016 has 576 divisors, whose sum is σ = 17631768960. Its totient is φ = 1196697600.

The previous prime is 4717190003. The next prime is 4717190017. The reversal of 4717190016 is 6100917174.

It is a tau number, because it is divible by the number of its divisors (576).

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 (4717190017) 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 71 ways as a sum of consecutive naturals, for example, 44085835 + ... + 44085941.

It is an arithmetic number, because the mean of its divisors is an integer number (30610710).

Almost surely, 2^4717190016 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 4717190016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8815884480).

4717190016 is an abundant number, since it is smaller than the sum of its proper divisors (12914578944).

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

4717190016 is a wasteful number, since it uses less digits than its factorization.

4717190016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 4717190016 is about 68681.8026554341. The cubic root of 4717190016 is about 1677.1083590536.

The spelling of 4717190016 in words is "four billion, seven hundred seventeen million, one hundred ninety thousand, sixteen".