4917684000 has 192 divisors, whose sum is σ = 16170440832. Its totient is φ = 1306496000.

The previous prime is 4917683971. The next prime is 4917684001. The reversal of 4917684000 is 4867194.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4917684000.

It is not an unprimeable number, because it can be changed into a prime (4917684001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4163410 + ... + 4164590.

It is an arithmetic number, because the mean of its divisors is an integer number (84221046).

Almost surely, 2^4917684000 is an apocalyptic number.

4917684000 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 4917684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8085220416).

4917684000 is an abundant number, since it is smaller than the sum of its proper divisors (11252756832).

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

4917684000 is a wasteful number, since it uses less digits than its factorization.

4917684000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 4917684000 is about 70126.2005244830. The cubic root of 4917684000 is about 1700.5400821488.

The spelling of 4917684000 in words is "four billion, nine hundred seventeen million, six hundred eighty-four thousand".