4761000216 has 96 divisors (see below), whose sum is σ = 14882493600. Its totient is φ = 1346803200.

The previous prime is 4761000187. The next prime is 4761000241. The reversal of 4761000216 is 6120001674.

4761000216 is a `hidden beast` number, since 47 + 610 + 0 + 0 + 2 + 1 + 6 = 666.

It is a super-3 number, since 3×4761000216³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4761000216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4140 + ... + 97668.

It is an arithmetic number, because the mean of its divisors is an integer number (155025975).

Almost surely, 2^4761000216 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 4761000216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7441246800).

4761000216 is an abundant number, since it is smaller than the sum of its proper divisors (10121493384).

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

4761000216 is a wasteful number, since it uses less digits than its factorization.

4761000216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93649 (or 93642 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4761000216 is about 69000.0015652174. The cubic root of 4761000216 is about 1682.2843330105.

The spelling of 4761000216 in words is "four billion, seven hundred sixty-one million, two hundred sixteen", and thus it is an aban number.