4789680000 has 320 divisors, whose sum is σ = 18175681920. Its totient is φ = 1094400000.

The previous prime is 4789679963. The next prime is 4789680023. The reversal of 4789680000 is 869874.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1678575 + ... + 1681425.

It is an arithmetic number, because the mean of its divisors is an integer number (56799006).

Almost surely, 2^4789680000 is an apocalyptic number.

4789680000 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 4789680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9087840960).

4789680000 is an abundant number, since it is smaller than the sum of its proper divisors (13386001920).

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

4789680000 is an equidigital number, since it uses as much as digits as its factorization.

4789680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 4789680000 is about 69207.5140429130. The cubic root of 4789680000 is about 1685.6555430208.

The spelling of 4789680000 in words is "four billion, seven hundred eighty-nine million, six hundred eighty thousand".