4717516625280 has 768 divisors, whose sum is σ = 16952619340800. Its totient is φ = 1207986683904.

The previous prime is 4717516625257. The next prime is 4717516625287. The reversal of 4717516625280 is 825266157174.

It is a happy number.

4717516625280 is a `hidden beast` number, since 4 + 7 + 1 + 7 + 5 + 1 + 6 + 625 + 2 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4717516625287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6907051819 + ... + 6907052501.

It is an arithmetic number, because the mean of its divisors is an integer number (22073723100).

Almost surely, 2^{4717516625280} is an apocalyptic number.

4717516625280 is a gapful number since it is divisible by the number (40) 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 4717516625280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8476309670400).

4717516625280 is an abundant number, since it is smaller than the sum of its proper divisors (12235102715520).

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

4717516625280 is a wasteful number, since it uses less digits than its factorization.

4717516625280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 4717516625280 in words is "four trillion, seven hundred seventeen billion, five hundred sixteen million, six hundred twenty-five thousand, two hundred eighty".