4681762800 has 240 divisors, whose sum is σ = 17619788928. Its totient is φ = 1047628800.

The previous prime is 4681762793. The next prime is 4681762829. The reversal of 4681762800 is 82671864.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157959 + ... + 185241.

Almost surely, 2^4681762800 is an apocalyptic number.

4681762800 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 4681762800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8809894464).

4681762800 is an abundant number, since it is smaller than the sum of its proper divisors (12938026128).

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

4681762800 is a wasteful number, since it uses less digits than its factorization.

4681762800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27328 (or 27317 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 4681762800 is about 68423.4082752387. The cubic root of 4681762800 is about 1672.8993105478.

The spelling of 4681762800 in words is "four billion, six hundred eighty-one million, seven hundred sixty-two thousand, eight hundred".