4716090016 has 288 divisors, whose sum is σ = 11772794880. Its totient is φ = 1836172800.

The previous prime is 4716089999. The next prime is 4716090017. The reversal of 4716090016 is 6100906174.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4716090017) 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 47 ways as a sum of consecutive naturals, for example, 109676491 + ... + 109676533.

It is an arithmetic number, because the mean of its divisors is an integer number (40877760).

Almost surely, 2^4716090016 is an apocalyptic number.

4716090016 is a gapful number since it is divisible by the number (46) 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 4716090016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5886397440).

4716090016 is an abundant number, since it is smaller than the sum of its proper divisors (7056704864).

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

4716090016 is a wasteful number, since it uses less digits than its factorization.

4716090016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 4716090016 is about 68673.7942449665. The cubic root of 4716090016 is about 1676.9779874690.

The spelling of 4716090016 in words is "four billion, seven hundred sixteen million, ninety thousand, sixteen".