4676516716896 has 288 divisors, whose sum is σ = 14463938966400. Its totient is φ = 1469775041280.

The previous prime is 4676516716891. The next prime is 4676516717051. The reversal of 4676516716896 is 6986176156764.

4676516716896 is a `hidden beast` number, since 4 + 6 + 7 + 6 + 516 + 7 + 16 + 8 + 96 = 666.

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

It is a super-2 number, since 2×4676516716896² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4676516716891) 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, 65776215 + ... + 65847273.

It is an arithmetic number, because the mean of its divisors is an integer number (50222010300).

Almost surely, 2^{4676516716896} 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 4676516716896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7231969483200).

4676516716896 is an abundant number, since it is smaller than the sum of its proper divisors (9787422249504).

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

4676516716896 is a wasteful number, since it uses less digits than its factorization.

4676516716896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71327 (or 71294 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 4676516716896 in words is "four trillion, six hundred seventy-six billion, five hundred sixteen million, seven hundred sixteen thousand, eight hundred ninety-six".