4762800000 has 864 divisors, whose sum is σ = 20665630440. Its totient is φ = 1088640000.

The previous prime is 4762799971. The next prime is 4762800043. The reversal of 4762800000 is 82674.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 680399997 + ... + 680400003.

Almost surely, 2^4762800000 is an apocalyptic number.

4762800000 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 4762800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10332815220).

4762800000 is an abundant number, since it is smaller than the sum of its proper divisors (15902830440).

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

4762800000 is an frugal number, since it uses more digits than its factorization.

4762800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4762800000 is about 69013.0422456509. The cubic root of 4762800000 is about 1682.4962889613.

Adding to 4762800000 its reverse (82674), we get a palindrome (4762882674).

The spelling of 4762800000 in words is "four billion, seven hundred sixty-two million, eight hundred thousand".