4789512000 has 1344 divisors, whose sum is σ = 22846247424. Its totient is φ = 928972800.

The previous prime is 4789511977. The next prime is 4789512031. The reversal of 4789512000 is 2159874.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 111383979 + ... + 111384021.

It is an arithmetic number, because the mean of its divisors is an integer number (16998696).

Almost surely, 2^4789512000 is an apocalyptic number.

4789512000 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 4789512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11423123712).

4789512000 is an abundant number, since it is smaller than the sum of its proper divisors (18056735424).

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

4789512000 is a wasteful number, since it uses less digits than its factorization.

4789512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 4789512000 is about 69206.3002912307. The cubic root of 4789512000 is about 1685.6358344361.

It can be divided in two parts, 47895 and 12000, that added together give a palindrome (59895).

The spelling of 4789512000 in words is "four billion, seven hundred eighty-nine million, five hundred twelve thousand".