4789713600 has 672 divisors, whose sum is σ = 20439644160. Its totient is φ = 1068318720.

The previous prime is 4789713583. The next prime is 4789713601. The reversal of 4789713600 is 63179874.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4789713601) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 14212632 + ... + 14212968.

Almost surely, 2^4789713600 is an apocalyptic number.

4789713600 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 4789713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10219822080).

4789713600 is an abundant number, since it is smaller than the sum of its proper divisors (15649930560).

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

4789713600 is a wasteful number, since it uses less digits than its factorization.

4789713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 4789713600 is about 69207.7567906951. The cubic root of 4789713600 is about 1685.6594846824.

The spelling of 4789713600 in words is "four billion, seven hundred eighty-nine million, seven hundred thirteen thousand, six hundred".